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Finding the Third Proportional to 141,577 and 213,459

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Solution

The third proportional to 141,577 and 213,459 is: 321,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,577 : 213,459 = 213,459 : x
  2. Step 2: Convert to fraction form
    141,577/213,459 = 213,459/x
  3. Step 3: Cross multiply
    141,577x = 213,459 × 213,459
  4. Step 4: Simplify right side
    141,577x = 45,564,744,681
  5. Step 5: Solve for x
    x = 45,564,744,681/141,577
  6. Step 6: Final answer
    x = 321,837.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.