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Finding the Third Proportional to 232,915.50 and 341,992.13

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Solution

The third proportional to 232,915.50 and 341,992.13 is: 502,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,915.50 : 341,992.13 = 341,992.13 : x
  2. Step 2: Convert to fraction form
    232,915.50/341,992.13 = 341,992.13/x
  3. Step 3: Cross multiply
    232,915.50x = 341,992.13 × 341,992.13
  4. Step 4: Simplify right side
    232,915.50x = 116,958,613,562.02
  5. Step 5: Solve for x
    x = 116,958,613,562.02/232,915.50
  6. Step 6: Final answer
    x = 502,150.41

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Why These Related Problems?

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