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Finding the Third Proportional to 107,415 and 233,279

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Solution

The third proportional to 107,415 and 233,279 is: 506,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,415 : 233,279 = 233,279 : x
  2. Step 2: Convert to fraction form
    107,415/233,279 = 233,279/x
  3. Step 3: Cross multiply
    107,415x = 233,279 × 233,279
  4. Step 4: Simplify right side
    107,415x = 54,419,091,841
  5. Step 5: Solve for x
    x = 54,419,091,841/107,415
  6. Step 6: Final answer
    x = 506,624.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.