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Finding the Third Proportional to 98,584 and 213,776

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Solution

The third proportional to 98,584 and 213,776 is: 463,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,584 : 213,776 = 213,776 : x
  2. Step 2: Convert to fraction form
    98,584/213,776 = 213,776/x
  3. Step 3: Cross multiply
    98,584x = 213,776 × 213,776
  4. Step 4: Simplify right side
    98,584x = 45,700,178,176
  5. Step 5: Solve for x
    x = 45,700,178,176/98,584
  6. Step 6: Final answer
    x = 463,565.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.