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Finding the Third Proportional to 237,486 and 367,254

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Solution

The third proportional to 237,486 and 367,254 is: 567,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,486 : 367,254 = 367,254 : x
  2. Step 2: Convert to fraction form
    237,486/367,254 = 367,254/x
  3. Step 3: Cross multiply
    237,486x = 367,254 × 367,254
  4. Step 4: Simplify right side
    237,486x = 134,875,500,516
  5. Step 5: Solve for x
    x = 134,875,500,516/237,486
  6. Step 6: Final answer
    x = 567,930.32

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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.