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Finding the Third Proportional to 160,315 and 344,747

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Solution

The third proportional to 160,315 and 344,747 is: 741,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,315 : 344,747 = 344,747 : x
  2. Step 2: Convert to fraction form
    160,315/344,747 = 344,747/x
  3. Step 3: Cross multiply
    160,315x = 344,747 × 344,747
  4. Step 4: Simplify right side
    160,315x = 118,850,494,009
  5. Step 5: Solve for x
    x = 118,850,494,009/160,315
  6. Step 6: Final answer
    x = 741,356.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.