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Finding the Third Proportional to 235,934 and 375,278.50

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Solution

The third proportional to 235,934 and 375,278.50 is: 596,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,934 : 375,278.50 = 375,278.50 : x
  2. Step 2: Convert to fraction form
    235,934/375,278.50 = 375,278.50/x
  3. Step 3: Cross multiply
    235,934x = 375,278.50 × 375,278.50
  4. Step 4: Simplify right side
    235,934x = 140,833,952,562.25
  5. Step 5: Solve for x
    x = 140,833,952,562.25/235,934
  6. Step 6: Final answer
    x = 596,920.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.