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Finding the Third Proportional to 237,310 and 367,552

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Solution

The third proportional to 237,310 and 367,552 is: 569,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,310 : 367,552 = 367,552 : x
  2. Step 2: Convert to fraction form
    237,310/367,552 = 367,552/x
  3. Step 3: Cross multiply
    237,310x = 367,552 × 367,552
  4. Step 4: Simplify right side
    237,310x = 135,094,472,704
  5. Step 5: Solve for x
    x = 135,094,472,704/237,310
  6. Step 6: Final answer
    x = 569,274.25

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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.