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Finding the Third Proportional to 156,750 and 341,470

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Solution

The third proportional to 156,750 and 341,470 is: 743,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,750 : 341,470 = 341,470 : x
  2. Step 2: Convert to fraction form
    156,750/341,470 = 341,470/x
  3. Step 3: Cross multiply
    156,750x = 341,470 × 341,470
  4. Step 4: Simplify right side
    156,750x = 116,601,760,900
  5. Step 5: Solve for x
    x = 116,601,760,900/156,750
  6. Step 6: Final answer
    x = 743,870.88

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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.