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Finding the Third Proportional to 245,713.50 and 536,888.25

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Solution

The third proportional to 245,713.50 and 536,888.25 is: 1,173,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,713.50 : 536,888.25 = 536,888.25 : x
  2. Step 2: Convert to fraction form
    245,713.50/536,888.25 = 536,888.25/x
  3. Step 3: Cross multiply
    245,713.50x = 536,888.25 × 536,888.25
  4. Step 4: Simplify right side
    245,713.50x = 288,248,992,988.06
  5. Step 5: Solve for x
    x = 288,248,992,988.06/245,713.50
  6. Step 6: Final answer
    x = 1,173,110.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.