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Finding the Third Proportional to 119,307.38 and 257,295.38

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Solution

The third proportional to 119,307.38 and 257,295.38 is: 554,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,307.38 : 257,295.38 = 257,295.38 : x
  2. Step 2: Convert to fraction form
    119,307.38/257,295.38 = 257,295.38/x
  3. Step 3: Cross multiply
    119,307.38x = 257,295.38 × 257,295.38
  4. Step 4: Simplify right side
    119,307.38x = 66,200,909,996.39
  5. Step 5: Solve for x
    x = 66,200,909,996.39/119,307.38
  6. Step 6: Final answer
    x = 554,876.93

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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.