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Finding the Third Proportional to 108,282 and 260,862

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Solution

The third proportional to 108,282 and 260,862 is: 628,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,282 : 260,862 = 260,862 : x
  2. Step 2: Convert to fraction form
    108,282/260,862 = 260,862/x
  3. Step 3: Cross multiply
    108,282x = 260,862 × 260,862
  4. Step 4: Simplify right side
    108,282x = 68,048,983,044
  5. Step 5: Solve for x
    x = 68,048,983,044/108,282
  6. Step 6: Final answer
    x = 628,442.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.