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Finding the Third Proportional to 119,302.24 and 257,285.11

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Solution

The third proportional to 119,302.24 and 257,285.11 is: 554,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,302.24 : 257,285.11 = 257,285.11 : x
  2. Step 2: Convert to fraction form
    119,302.24/257,285.11 = 257,285.11/x
  3. Step 3: Cross multiply
    119,302.24x = 257,285.11 × 257,285.11
  4. Step 4: Simplify right side
    119,302.24x = 66,195,627,506.11
  5. Step 5: Solve for x
    x = 66,195,627,506.11/119,302.24
  6. Step 6: Final answer
    x = 554,856.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.