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Finding the Third Proportional to 135,854.25 and 297,952.50

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Solution

The third proportional to 135,854.25 and 297,952.50 is: 653,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,854.25 : 297,952.50 = 297,952.50 : x
  2. Step 2: Convert to fraction form
    135,854.25/297,952.50 = 297,952.50/x
  3. Step 3: Cross multiply
    135,854.25x = 297,952.50 × 297,952.50
  4. Step 4: Simplify right side
    135,854.25x = 88,775,692,256.25
  5. Step 5: Solve for x
    x = 88,775,692,256.25/135,854.25
  6. Step 6: Final answer
    x = 653,462.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.