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Finding the Third Proportional to 237,963 and 368,465

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Solution

The third proportional to 237,963 and 368,465 is: 570,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,963 : 368,465 = 368,465 : x
  2. Step 2: Convert to fraction form
    237,963/368,465 = 368,465/x
  3. Step 3: Cross multiply
    237,963x = 368,465 × 368,465
  4. Step 4: Simplify right side
    237,963x = 135,766,456,225
  5. Step 5: Solve for x
    x = 135,766,456,225/237,963
  6. Step 6: Final answer
    x = 570,535.99

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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.