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Finding the Third Proportional to 107,360 and 233,188

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Solution

The third proportional to 107,360 and 233,188 is: 506,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,360 : 233,188 = 233,188 : x
  2. Step 2: Convert to fraction form
    107,360/233,188 = 233,188/x
  3. Step 3: Cross multiply
    107,360x = 233,188 × 233,188
  4. Step 4: Simplify right side
    107,360x = 54,376,643,344
  5. Step 5: Solve for x
    x = 54,376,643,344/107,360
  6. Step 6: Final answer
    x = 506,488.85

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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.