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Finding the Third Proportional to 175,550 and 250,863

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Solution

The third proportional to 175,550 and 250,863 is: 358,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,550 : 250,863 = 250,863 : x
  2. Step 2: Convert to fraction form
    175,550/250,863 = 250,863/x
  3. Step 3: Cross multiply
    175,550x = 250,863 × 250,863
  4. Step 4: Simplify right side
    175,550x = 62,932,244,769
  5. Step 5: Solve for x
    x = 62,932,244,769/175,550
  6. Step 6: Final answer
    x = 358,486.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.