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Finding the Third Proportional to 102,264.50 and 220,862

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Solution

The third proportional to 102,264.50 and 220,862 is: 476,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,264.50 : 220,862 = 220,862 : x
  2. Step 2: Convert to fraction form
    102,264.50/220,862 = 220,862/x
  3. Step 3: Cross multiply
    102,264.50x = 220,862 × 220,862
  4. Step 4: Simplify right side
    102,264.50x = 48,780,023,044
  5. Step 5: Solve for x
    x = 48,780,023,044/102,264.50
  6. Step 6: Final answer
    x = 476,998.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.