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Finding the Third Proportional to 181,602 and 277,587

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Solution

The third proportional to 181,602 and 277,587 is: 424,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,602 : 277,587 = 277,587 : x
  2. Step 2: Convert to fraction form
    181,602/277,587 = 277,587/x
  3. Step 3: Cross multiply
    181,602x = 277,587 × 277,587
  4. Step 4: Simplify right side
    181,602x = 77,054,542,569
  5. Step 5: Solve for x
    x = 77,054,542,569/181,602
  6. Step 6: Final answer
    x = 424,304.48

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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.