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Finding the Third Proportional to 162,584 and 250,217

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Solution

The third proportional to 162,584 and 250,217 is: 385,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,584 : 250,217 = 250,217 : x
  2. Step 2: Convert to fraction form
    162,584/250,217 = 250,217/x
  3. Step 3: Cross multiply
    162,584x = 250,217 × 250,217
  4. Step 4: Simplify right side
    162,584x = 62,608,547,089
  5. Step 5: Solve for x
    x = 62,608,547,089/162,584
  6. Step 6: Final answer
    x = 385,084.31

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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.