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Finding the Third Proportional to 237,348 and 367,386

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Solution

The third proportional to 237,348 and 367,386 is: 568,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,348 : 367,386 = 367,386 : x
  2. Step 2: Convert to fraction form
    237,348/367,386 = 367,386/x
  3. Step 3: Cross multiply
    237,348x = 367,386 × 367,386
  4. Step 4: Simplify right side
    237,348x = 134,972,472,996
  5. Step 5: Solve for x
    x = 134,972,472,996/237,348
  6. Step 6: Final answer
    x = 568,669.10

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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.