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Finding the Third Proportional to 182,691 and 286,987.50

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Solution

The third proportional to 182,691 and 286,987.50 is: 450,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,691 : 286,987.50 = 286,987.50 : x
  2. Step 2: Convert to fraction form
    182,691/286,987.50 = 286,987.50/x
  3. Step 3: Cross multiply
    182,691x = 286,987.50 × 286,987.50
  4. Step 4: Simplify right side
    182,691x = 82,361,825,156.25
  5. Step 5: Solve for x
    x = 82,361,825,156.25/182,691
  6. Step 6: Final answer
    x = 450,825.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.