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Finding the Third Proportional to 155,255.48 and 234,359.16

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Solution

The third proportional to 155,255.48 and 234,359.16 is: 353,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,255.48 : 234,359.16 = 234,359.16 : x
  2. Step 2: Convert to fraction form
    155,255.48/234,359.16 = 234,359.16/x
  3. Step 3: Cross multiply
    155,255.48x = 234,359.16 × 234,359.16
  4. Step 4: Simplify right side
    155,255.48x = 54,924,214,118.21
  5. Step 5: Solve for x
    x = 54,924,214,118.21/155,255.48
  6. Step 6: Final answer
    x = 353,766.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.