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Finding the Third Proportional to 106,335 and 231,988

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Solution

The third proportional to 106,335 and 231,988 is: 506,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,335 : 231,988 = 231,988 : x
  2. Step 2: Convert to fraction form
    106,335/231,988 = 231,988/x
  3. Step 3: Cross multiply
    106,335x = 231,988 × 231,988
  4. Step 4: Simplify right side
    106,335x = 53,818,432,144
  5. Step 5: Solve for x
    x = 53,818,432,144/106,335
  6. Step 6: Final answer
    x = 506,121.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.