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Finding the Third Proportional to 181,776 and 277,585

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Solution

The third proportional to 181,776 and 277,585 is: 423,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,776 : 277,585 = 277,585 : x
  2. Step 2: Convert to fraction form
    181,776/277,585 = 277,585/x
  3. Step 3: Cross multiply
    181,776x = 277,585 × 277,585
  4. Step 4: Simplify right side
    181,776x = 77,053,432,225
  5. Step 5: Solve for x
    x = 77,053,432,225/181,776
  6. Step 6: Final answer
    x = 423,892.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.