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Finding the Third Proportional to 108,702 and 235,498

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Solution

The third proportional to 108,702 and 235,498 is: 510,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,702 : 235,498 = 235,498 : x
  2. Step 2: Convert to fraction form
    108,702/235,498 = 235,498/x
  3. Step 3: Cross multiply
    108,702x = 235,498 × 235,498
  4. Step 4: Simplify right side
    108,702x = 55,459,308,004
  5. Step 5: Solve for x
    x = 55,459,308,004/108,702
  6. Step 6: Final answer
    x = 510,195.84

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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.