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Finding the Third Proportional to 108,463 and 234,473

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Solution

The third proportional to 108,463 and 234,473 is: 506,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,463 : 234,473 = 234,473 : x
  2. Step 2: Convert to fraction form
    108,463/234,473 = 234,473/x
  3. Step 3: Cross multiply
    108,463x = 234,473 × 234,473
  4. Step 4: Simplify right side
    108,463x = 54,977,587,729
  5. Step 5: Solve for x
    x = 54,977,587,729/108,463
  6. Step 6: Final answer
    x = 506,878.73

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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.