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Finding the Third Proportional to 102,584 and 220,498

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Solution

The third proportional to 102,584 and 220,498 is: 473,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,584 : 220,498 = 220,498 : x
  2. Step 2: Convert to fraction form
    102,584/220,498 = 220,498/x
  3. Step 3: Cross multiply
    102,584x = 220,498 × 220,498
  4. Step 4: Simplify right side
    102,584x = 48,619,368,004
  5. Step 5: Solve for x
    x = 48,619,368,004/102,584
  6. Step 6: Final answer
    x = 473,946.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.