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Finding the Third Proportional to 181,766 and 277,569.50

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Solution

The third proportional to 181,766 and 277,569.50 is: 423,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,766 : 277,569.50 = 277,569.50 : x
  2. Step 2: Convert to fraction form
    181,766/277,569.50 = 277,569.50/x
  3. Step 3: Cross multiply
    181,766x = 277,569.50 × 277,569.50
  4. Step 4: Simplify right side
    181,766x = 77,044,827,330.25
  5. Step 5: Solve for x
    x = 77,044,827,330.25/181,766
  6. Step 6: Final answer
    x = 423,868.20

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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.