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Finding the Third Proportional to 109,332 and 235,438

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Solution

The third proportional to 109,332 and 235,438 is: 506,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,332 : 235,438 = 235,438 : x
  2. Step 2: Convert to fraction form
    109,332/235,438 = 235,438/x
  3. Step 3: Cross multiply
    109,332x = 235,438 × 235,438
  4. Step 4: Simplify right side
    109,332x = 55,431,051,844
  5. Step 5: Solve for x
    x = 55,431,051,844/109,332
  6. Step 6: Final answer
    x = 506,997.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.