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Finding the Third Proportional to 162,893 and 251,711

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Solution

The third proportional to 162,893 and 251,711 is: 388,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,893 : 251,711 = 251,711 : x
  2. Step 2: Convert to fraction form
    162,893/251,711 = 251,711/x
  3. Step 3: Cross multiply
    162,893x = 251,711 × 251,711
  4. Step 4: Simplify right side
    162,893x = 63,358,427,521
  5. Step 5: Solve for x
    x = 63,358,427,521/162,893
  6. Step 6: Final answer
    x = 388,957.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.