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Finding the Third Proportional to 150,894 and 327,746

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Solution

The third proportional to 150,894 and 327,746 is: 711,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,894 : 327,746 = 327,746 : x
  2. Step 2: Convert to fraction form
    150,894/327,746 = 327,746/x
  3. Step 3: Cross multiply
    150,894x = 327,746 × 327,746
  4. Step 4: Simplify right side
    150,894x = 107,417,440,516
  5. Step 5: Solve for x
    x = 107,417,440,516/150,894
  6. Step 6: Final answer
    x = 711,873.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.