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Finding the Third Proportional to 237,708 and 349,488

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Solution

The third proportional to 237,708 and 349,488 is: 513,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,708 : 349,488 = 349,488 : x
  2. Step 2: Convert to fraction form
    237,708/349,488 = 349,488/x
  3. Step 3: Cross multiply
    237,708x = 349,488 × 349,488
  4. Step 4: Simplify right side
    237,708x = 122,141,862,144
  5. Step 5: Solve for x
    x = 122,141,862,144/237,708
  6. Step 6: Final answer
    x = 513,831.52

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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.