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Finding the Third Proportional to 161,677.50 and 340,098.75

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Solution

The third proportional to 161,677.50 and 340,098.75 is: 715,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,677.50 : 340,098.75 = 340,098.75 : x
  2. Step 2: Convert to fraction form
    161,677.50/340,098.75 = 340,098.75/x
  3. Step 3: Cross multiply
    161,677.50x = 340,098.75 × 340,098.75
  4. Step 4: Simplify right side
    161,677.50x = 115,667,159,751.56
  5. Step 5: Solve for x
    x = 115,667,159,751.56/161,677.50
  6. Step 6: Final answer
    x = 715,419.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.