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Finding the Third Proportional to 181,929.38 and 260,515.13

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Solution

The third proportional to 181,929.38 and 260,515.13 is: 373,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,929.38 : 260,515.13 = 260,515.13 : x
  2. Step 2: Convert to fraction form
    181,929.38/260,515.13 = 260,515.13/x
  3. Step 3: Cross multiply
    181,929.38x = 260,515.13 × 260,515.13
  4. Step 4: Simplify right side
    181,929.38x = 67,868,130,353.77
  5. Step 5: Solve for x
    x = 67,868,130,353.77/181,929.38
  6. Step 6: Final answer
    x = 373,046.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.