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Finding the Third Proportional to 108,006.75 and 232,567.88

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Solution

The third proportional to 108,006.75 and 232,567.88 is: 500,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,006.75 : 232,567.88 = 232,567.88 : x
  2. Step 2: Convert to fraction form
    108,006.75/232,567.88 = 232,567.88/x
  3. Step 3: Cross multiply
    108,006.75x = 232,567.88 × 232,567.88
  4. Step 4: Simplify right side
    108,006.75x = 54,087,816,482.02
  5. Step 5: Solve for x
    x = 54,087,816,482.02/108,006.75
  6. Step 6: Final answer
    x = 500,781.82

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Why These Related Problems?

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