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Finding the Third Proportional to 175,672.13 and 380,848.50

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Solution

The third proportional to 175,672.13 and 380,848.50 is: 825,660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,672.13 : 380,848.50 = 380,848.50 : x
  2. Step 2: Convert to fraction form
    175,672.13/380,848.50 = 380,848.50/x
  3. Step 3: Cross multiply
    175,672.13x = 380,848.50 × 380,848.50
  4. Step 4: Simplify right side
    175,672.13x = 145,045,579,952.25
  5. Step 5: Solve for x
    x = 145,045,579,952.25/175,672.13
  6. Step 6: Final answer
    x = 825,660.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.