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Finding the Third Proportional to 162,584 and 217,468

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Solution

The third proportional to 162,584 and 217,468 is: 290,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,584 : 217,468 = 217,468 : x
  2. Step 2: Convert to fraction form
    162,584/217,468 = 217,468/x
  3. Step 3: Cross multiply
    162,584x = 217,468 × 217,468
  4. Step 4: Simplify right side
    162,584x = 47,292,331,024
  5. Step 5: Solve for x
    x = 47,292,331,024/162,584
  6. Step 6: Final answer
    x = 290,879.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.