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Finding the Third Proportional to 156,705 and 338,346.75

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Solution

The third proportional to 156,705 and 338,346.75 is: 730,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,705 : 338,346.75 = 338,346.75 : x
  2. Step 2: Convert to fraction form
    156,705/338,346.75 = 338,346.75/x
  3. Step 3: Cross multiply
    156,705x = 338,346.75 × 338,346.75
  4. Step 4: Simplify right side
    156,705x = 114,478,523,235.56
  5. Step 5: Solve for x
    x = 114,478,523,235.56/156,705
  6. Step 6: Final answer
    x = 730,535.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.