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Finding the Third Proportional to 156,290 and 342,388

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Solution

The third proportional to 156,290 and 342,388 is: 750,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,290 : 342,388 = 342,388 : x
  2. Step 2: Convert to fraction form
    156,290/342,388 = 342,388/x
  3. Step 3: Cross multiply
    156,290x = 342,388 × 342,388
  4. Step 4: Simplify right side
    156,290x = 117,229,542,544
  5. Step 5: Solve for x
    x = 117,229,542,544/156,290
  6. Step 6: Final answer
    x = 750,077.05

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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.