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Finding the Third Proportional to 229,186.97 and 299,459.53

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Solution

The third proportional to 229,186.97 and 299,459.53 is: 391,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,186.97 : 299,459.53 = 299,459.53 : x
  2. Step 2: Convert to fraction form
    229,186.97/299,459.53 = 299,459.53/x
  3. Step 3: Cross multiply
    229,186.97x = 299,459.53 × 299,459.53
  4. Step 4: Simplify right side
    229,186.97x = 89,676,010,856.47
  5. Step 5: Solve for x
    x = 89,676,010,856.47/229,186.97
  6. Step 6: Final answer
    x = 391,278.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.