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Finding the Third Proportional to 151,503.75 and 230,401.13

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Solution

The third proportional to 151,503.75 and 230,401.13 is: 350,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,503.75 : 230,401.13 = 230,401.13 : x
  2. Step 2: Convert to fraction form
    151,503.75/230,401.13 = 230,401.13/x
  3. Step 3: Cross multiply
    151,503.75x = 230,401.13 × 230,401.13
  4. Step 4: Simplify right side
    151,503.75x = 53,084,678,401.27
  5. Step 5: Solve for x
    x = 53,084,678,401.27/151,503.75
  6. Step 6: Final answer
    x = 350,385.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.