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Finding the Third Proportional to 182,017.13 and 275,567.06

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Solution

The third proportional to 182,017.13 and 275,567.06 is: 417,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,017.13 : 275,567.06 = 275,567.06 : x
  2. Step 2: Convert to fraction form
    182,017.13/275,567.06 = 275,567.06/x
  3. Step 3: Cross multiply
    182,017.13x = 275,567.06 × 275,567.06
  4. Step 4: Simplify right side
    182,017.13x = 75,937,205,934.88
  5. Step 5: Solve for x
    x = 75,937,205,934.88/182,017.13
  6. Step 6: Final answer
    x = 417,198.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.