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Finding the Third Proportional to 121,179.38 and 258,853.50

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Solution

The third proportional to 121,179.38 and 258,853.50 is: 552,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,179.38 : 258,853.50 = 258,853.50 : x
  2. Step 2: Convert to fraction form
    121,179.38/258,853.50 = 258,853.50/x
  3. Step 3: Cross multiply
    121,179.38x = 258,853.50 × 258,853.50
  4. Step 4: Simplify right side
    121,179.38x = 67,005,134,462.25
  5. Step 5: Solve for x
    x = 67,005,134,462.25/121,179.38
  6. Step 6: Final answer
    x = 552,941.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.