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Finding the Third Proportional to 237,544 and 348,540

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Solution

The third proportional to 237,544 and 348,540 is: 511,400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,544 : 348,540 = 348,540 : x
  2. Step 2: Convert to fraction form
    237,544/348,540 = 348,540/x
  3. Step 3: Cross multiply
    237,544x = 348,540 × 348,540
  4. Step 4: Simplify right side
    237,544x = 121,480,131,600
  5. Step 5: Solve for x
    x = 121,480,131,600/237,544
  6. Step 6: Final answer
    x = 511,400.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.