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Finding the Third Proportional to 106,438 and 233,612

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Solution

The third proportional to 106,438 and 233,612 is: 512,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,438 : 233,612 = 233,612 : x
  2. Step 2: Convert to fraction form
    106,438/233,612 = 233,612/x
  3. Step 3: Cross multiply
    106,438x = 233,612 × 233,612
  4. Step 4: Simplify right side
    106,438x = 54,574,566,544
  5. Step 5: Solve for x
    x = 54,574,566,544/106,438
  6. Step 6: Final answer
    x = 512,735.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.