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Finding the Third Proportional to 108,756 and 240,842

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Solution

The third proportional to 108,756 and 240,842 is: 533,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,756 : 240,842 = 240,842 : x
  2. Step 2: Convert to fraction form
    108,756/240,842 = 240,842/x
  3. Step 3: Cross multiply
    108,756x = 240,842 × 240,842
  4. Step 4: Simplify right side
    108,756x = 58,004,868,964
  5. Step 5: Solve for x
    x = 58,004,868,964/108,756
  6. Step 6: Final answer
    x = 533,348.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.