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Finding the Third Proportional to 84,717 and 176,449.50

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Solution

The third proportional to 84,717 and 176,449.50 is: 367,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,717 : 176,449.50 = 176,449.50 : x
  2. Step 2: Convert to fraction form
    84,717/176,449.50 = 176,449.50/x
  3. Step 3: Cross multiply
    84,717x = 176,449.50 × 176,449.50
  4. Step 4: Simplify right side
    84,717x = 31,134,426,050.25
  5. Step 5: Solve for x
    x = 31,134,426,050.25/84,717
  6. Step 6: Final answer
    x = 367,510.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.