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Finding the Third Proportional to 147,711 and 322,157

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Solution

The third proportional to 147,711 and 322,157 is: 702,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,711 : 322,157 = 322,157 : x
  2. Step 2: Convert to fraction form
    147,711/322,157 = 322,157/x
  3. Step 3: Cross multiply
    147,711x = 322,157 × 322,157
  4. Step 4: Simplify right side
    147,711x = 103,785,132,649
  5. Step 5: Solve for x
    x = 103,785,132,649/147,711
  6. Step 6: Final answer
    x = 702,622.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.