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Finding the Third Proportional to 156,747 and 344,594

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Solution

The third proportional to 156,747 and 344,594 is: 757,558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,747 : 344,594 = 344,594 : x
  2. Step 2: Convert to fraction form
    156,747/344,594 = 344,594/x
  3. Step 3: Cross multiply
    156,747x = 344,594 × 344,594
  4. Step 4: Simplify right side
    156,747x = 118,745,024,836
  5. Step 5: Solve for x
    x = 118,745,024,836/156,747
  6. Step 6: Final answer
    x = 757,558.52

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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.