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Finding the Third Proportional to 164,630 and 250,497

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Solution

The third proportional to 164,630 and 250,497 is: 381,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,630 : 250,497 = 250,497 : x
  2. Step 2: Convert to fraction form
    164,630/250,497 = 250,497/x
  3. Step 3: Cross multiply
    164,630x = 250,497 × 250,497
  4. Step 4: Simplify right side
    164,630x = 62,748,747,009
  5. Step 5: Solve for x
    x = 62,748,747,009/164,630
  6. Step 6: Final answer
    x = 381,150.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.