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Finding the Third Proportional to 156,206 and 342,040

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Solution

The third proportional to 156,206 and 342,040 is: 748,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,206 : 342,040 = 342,040 : x
  2. Step 2: Convert to fraction form
    156,206/342,040 = 342,040/x
  3. Step 3: Cross multiply
    156,206x = 342,040 × 342,040
  4. Step 4: Simplify right side
    156,206x = 116,991,361,600
  5. Step 5: Solve for x
    x = 116,991,361,600/156,206
  6. Step 6: Final answer
    x = 748,955.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.