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Finding the Third Proportional to 162,724 and 251,937.50

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Solution

The third proportional to 162,724 and 251,937.50 is: 390,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,724 : 251,937.50 = 251,937.50 : x
  2. Step 2: Convert to fraction form
    162,724/251,937.50 = 251,937.50/x
  3. Step 3: Cross multiply
    162,724x = 251,937.50 × 251,937.50
  4. Step 4: Simplify right side
    162,724x = 63,472,503,906.25
  5. Step 5: Solve for x
    x = 63,472,503,906.25/162,724
  6. Step 6: Final answer
    x = 390,062.34

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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.