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Finding the Third Proportional to 112,362 and 245,713.50

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Solution

The third proportional to 112,362 and 245,713.50 is: 537,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,362 : 245,713.50 = 245,713.50 : x
  2. Step 2: Convert to fraction form
    112,362/245,713.50 = 245,713.50/x
  3. Step 3: Cross multiply
    112,362x = 245,713.50 × 245,713.50
  4. Step 4: Simplify right side
    112,362x = 60,375,124,082.25
  5. Step 5: Solve for x
    x = 60,375,124,082.25/112,362
  6. Step 6: Final answer
    x = 537,326.89

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