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Finding the Third Proportional to 153,240.75 and 230,070.38

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Solution

The third proportional to 153,240.75 and 230,070.38 is: 345,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,240.75 : 230,070.38 = 230,070.38 : x
  2. Step 2: Convert to fraction form
    153,240.75/230,070.38 = 230,070.38/x
  3. Step 3: Cross multiply
    153,240.75x = 230,070.38 × 230,070.38
  4. Step 4: Simplify right side
    153,240.75x = 52,932,377,452.64
  5. Step 5: Solve for x
    x = 52,932,377,452.64/153,240.75
  6. Step 6: Final answer
    x = 345,419.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.