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Finding the Third Proportional to 175,457 and 250,909

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Solution

The third proportional to 175,457 and 250,909 is: 358,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,457 : 250,909 = 250,909 : x
  2. Step 2: Convert to fraction form
    175,457/250,909 = 250,909/x
  3. Step 3: Cross multiply
    175,457x = 250,909 × 250,909
  4. Step 4: Simplify right side
    175,457x = 62,955,326,281
  5. Step 5: Solve for x
    x = 62,955,326,281/175,457
  6. Step 6: Final answer
    x = 358,807.72

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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.