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Finding the Third Proportional to 237,739 and 349,329

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Solution

The third proportional to 237,739 and 349,329 is: 513,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,739 : 349,329 = 349,329 : x
  2. Step 2: Convert to fraction form
    237,739/349,329 = 349,329/x
  3. Step 3: Cross multiply
    237,739x = 349,329 × 349,329
  4. Step 4: Simplify right side
    237,739x = 122,030,750,241
  5. Step 5: Solve for x
    x = 122,030,750,241/237,739
  6. Step 6: Final answer
    x = 513,297.15

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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.