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Finding the Third Proportional to 181,877.91 and 244,673.16

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Solution

The third proportional to 181,877.91 and 244,673.16 is: 329,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,877.91 : 244,673.16 = 244,673.16 : x
  2. Step 2: Convert to fraction form
    181,877.91/244,673.16 = 244,673.16/x
  3. Step 3: Cross multiply
    181,877.91x = 244,673.16 × 244,673.16
  4. Step 4: Simplify right side
    181,877.91x = 59,864,953,389.34
  5. Step 5: Solve for x
    x = 59,864,953,389.34/181,877.91
  6. Step 6: Final answer
    x = 329,149.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.