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Finding the Third Proportional to 230,478 and 361,552.13

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Solution

The third proportional to 230,478 and 361,552.13 is: 567,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,478 : 361,552.13 = 361,552.13 : x
  2. Step 2: Convert to fraction form
    230,478/361,552.13 = 361,552.13/x
  3. Step 3: Cross multiply
    230,478x = 361,552.13 × 361,552.13
  4. Step 4: Simplify right side
    230,478x = 130,719,939,092.02
  5. Step 5: Solve for x
    x = 130,719,939,092.02/230,478
  6. Step 6: Final answer
    x = 567,168.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.