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Finding the Third Proportional to 70,384 and 156,508

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Solution

The third proportional to 70,384 and 156,508 is: 348,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,384 : 156,508 = 156,508 : x
  2. Step 2: Convert to fraction form
    70,384/156,508 = 156,508/x
  3. Step 3: Cross multiply
    70,384x = 156,508 × 156,508
  4. Step 4: Simplify right side
    70,384x = 24,494,754,064
  5. Step 5: Solve for x
    x = 24,494,754,064/70,384
  6. Step 6: Final answer
    x = 348,015.94

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.