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Finding the Third Proportional to 177,924 and 390,840

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Solution

The third proportional to 177,924 and 390,840 is: 858,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,924 : 390,840 = 390,840 : x
  2. Step 2: Convert to fraction form
    177,924/390,840 = 390,840/x
  3. Step 3: Cross multiply
    177,924x = 390,840 × 390,840
  4. Step 4: Simplify right side
    177,924x = 152,755,905,600
  5. Step 5: Solve for x
    x = 152,755,905,600/177,924
  6. Step 6: Final answer
    x = 858,545.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.