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Finding the Third Proportional to 160,768.13 and 353,065.50

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Solution

The third proportional to 160,768.13 and 353,065.50 is: 775,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,768.13 : 353,065.50 = 353,065.50 : x
  2. Step 2: Convert to fraction form
    160,768.13/353,065.50 = 353,065.50/x
  3. Step 3: Cross multiply
    160,768.13x = 353,065.50 × 353,065.50
  4. Step 4: Simplify right side
    160,768.13x = 124,655,247,290.25
  5. Step 5: Solve for x
    x = 124,655,247,290.25/160,768.13
  6. Step 6: Final answer
    x = 775,372.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.