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Finding the Third Proportional to 155,150 and 337,948

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Solution

The third proportional to 155,150 and 337,948 is: 736,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,150 : 337,948 = 337,948 : x
  2. Step 2: Convert to fraction form
    155,150/337,948 = 337,948/x
  3. Step 3: Cross multiply
    155,150x = 337,948 × 337,948
  4. Step 4: Simplify right side
    155,150x = 114,208,850,704
  5. Step 5: Solve for x
    x = 114,208,850,704/155,150
  6. Step 6: Final answer
    x = 736,118.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.