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Finding the Third Proportional to 245,411.25 and 535,170

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Solution

The third proportional to 245,411.25 and 535,170 is: 1,167,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,411.25 : 535,170 = 535,170 : x
  2. Step 2: Convert to fraction form
    245,411.25/535,170 = 535,170/x
  3. Step 3: Cross multiply
    245,411.25x = 535,170 × 535,170
  4. Step 4: Simplify right side
    245,411.25x = 286,406,928,900
  5. Step 5: Solve for x
    x = 286,406,928,900/245,411.25
  6. Step 6: Final answer
    x = 1,167,048.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.