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Finding the Third Proportional to 162,246 and 250,042

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Solution

The third proportional to 162,246 and 250,042 is: 385,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,246 : 250,042 = 250,042 : x
  2. Step 2: Convert to fraction form
    162,246/250,042 = 250,042/x
  3. Step 3: Cross multiply
    162,246x = 250,042 × 250,042
  4. Step 4: Simplify right side
    162,246x = 62,521,001,764
  5. Step 5: Solve for x
    x = 62,521,001,764/162,246
  6. Step 6: Final answer
    x = 385,346.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.