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Finding the Third Proportional to 163,052 and 250,924

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Solution

The third proportional to 163,052 and 250,924 is: 386,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,052 : 250,924 = 250,924 : x
  2. Step 2: Convert to fraction form
    163,052/250,924 = 250,924/x
  3. Step 3: Cross multiply
    163,052x = 250,924 × 250,924
  4. Step 4: Simplify right side
    163,052x = 62,962,853,776
  5. Step 5: Solve for x
    x = 62,962,853,776/163,052
  6. Step 6: Final answer
    x = 386,151.99

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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.