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Finding the Third Proportional to 237,306 and 367,544

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Solution

The third proportional to 237,306 and 367,544 is: 569,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,306 : 367,544 = 367,544 : x
  2. Step 2: Convert to fraction form
    237,306/367,544 = 367,544/x
  3. Step 3: Cross multiply
    237,306x = 367,544 × 367,544
  4. Step 4: Simplify right side
    237,306x = 135,088,591,936
  5. Step 5: Solve for x
    x = 135,088,591,936/237,306
  6. Step 6: Final answer
    x = 569,259.07

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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.