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Finding the Third Proportional to 108,479 and 233,609

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Solution

The third proportional to 108,479 and 233,609 is: 503,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,479 : 233,609 = 233,609 : x
  2. Step 2: Convert to fraction form
    108,479/233,609 = 233,609/x
  3. Step 3: Cross multiply
    108,479x = 233,609 × 233,609
  4. Step 4: Simplify right side
    108,479x = 54,573,164,881
  5. Step 5: Solve for x
    x = 54,573,164,881/108,479
  6. Step 6: Final answer
    x = 503,075.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.