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Finding the Third Proportional to 192,610.13 and 296,433

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Solution

The third proportional to 192,610.13 and 296,433 is: 456,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,610.13 : 296,433 = 296,433 : x
  2. Step 2: Convert to fraction form
    192,610.13/296,433 = 296,433/x
  3. Step 3: Cross multiply
    192,610.13x = 296,433 × 296,433
  4. Step 4: Simplify right side
    192,610.13x = 87,872,523,489
  5. Step 5: Solve for x
    x = 87,872,523,489/192,610.13
  6. Step 6: Final answer
    x = 456,219.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.