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Finding the Third Proportional to 152,404 and 334,974

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Solution

The third proportional to 152,404 and 334,974 is: 736,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,404 : 334,974 = 334,974 : x
  2. Step 2: Convert to fraction form
    152,404/334,974 = 334,974/x
  3. Step 3: Cross multiply
    152,404x = 334,974 × 334,974
  4. Step 4: Simplify right side
    152,404x = 112,207,580,676
  5. Step 5: Solve for x
    x = 112,207,580,676/152,404
  6. Step 6: Final answer
    x = 736,250.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.