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Finding the Third Proportional to 163,132 and 250,822

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Solution

The third proportional to 163,132 and 250,822 is: 385,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,132 : 250,822 = 250,822 : x
  2. Step 2: Convert to fraction form
    163,132/250,822 = 250,822/x
  3. Step 3: Cross multiply
    163,132x = 250,822 × 250,822
  4. Step 4: Simplify right side
    163,132x = 62,911,675,684
  5. Step 5: Solve for x
    x = 62,911,675,684/163,132
  6. Step 6: Final answer
    x = 385,648.90

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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.