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Finding the Third Proportional to 215,425.50 and 340,959

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Solution

The third proportional to 215,425.50 and 340,959 is: 539,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,425.50 : 340,959 = 340,959 : x
  2. Step 2: Convert to fraction form
    215,425.50/340,959 = 340,959/x
  3. Step 3: Cross multiply
    215,425.50x = 340,959 × 340,959
  4. Step 4: Simplify right side
    215,425.50x = 116,253,039,681
  5. Step 5: Solve for x
    x = 116,253,039,681/215,425.50
  6. Step 6: Final answer
    x = 539,643.82

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.