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Finding the Third Proportional to 237,968 and 368,472

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Solution

The third proportional to 237,968 and 368,472 is: 570,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,968 : 368,472 = 368,472 : x
  2. Step 2: Convert to fraction form
    237,968/368,472 = 368,472/x
  3. Step 3: Cross multiply
    237,968x = 368,472 × 368,472
  4. Step 4: Simplify right side
    237,968x = 135,771,614,784
  5. Step 5: Solve for x
    x = 135,771,614,784/237,968
  6. Step 6: Final answer
    x = 570,545.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.