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Finding the Third Proportional to 232,890.19 and 341,668.13

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Solution

The third proportional to 232,890.19 and 341,668.13 is: 501,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,890.19 : 341,668.13 = 341,668.13 : x
  2. Step 2: Convert to fraction form
    232,890.19/341,668.13 = 341,668.13/x
  3. Step 3: Cross multiply
    232,890.19x = 341,668.13 × 341,668.13
  4. Step 4: Simplify right side
    232,890.19x = 116,737,107,641.02
  5. Step 5: Solve for x
    x = 116,737,107,641.02/232,890.19
  6. Step 6: Final answer
    x = 501,253.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.