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Finding the Third Proportional to 237,128 and 361,713

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Solution

The third proportional to 237,128 and 361,713 is: 551,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,128 : 361,713 = 361,713 : x
  2. Step 2: Convert to fraction form
    237,128/361,713 = 361,713/x
  3. Step 3: Cross multiply
    237,128x = 361,713 × 361,713
  4. Step 4: Simplify right side
    237,128x = 130,836,294,369
  5. Step 5: Solve for x
    x = 130,836,294,369/237,128
  6. Step 6: Final answer
    x = 551,753.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.