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Finding the Third Proportional to 161,854.50 and 355,834.50

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Solution

The third proportional to 161,854.50 and 355,834.50 is: 782,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,854.50 : 355,834.50 = 355,834.50 : x
  2. Step 2: Convert to fraction form
    161,854.50/355,834.50 = 355,834.50/x
  3. Step 3: Cross multiply
    161,854.50x = 355,834.50 × 355,834.50
  4. Step 4: Simplify right side
    161,854.50x = 126,618,191,390.25
  5. Step 5: Solve for x
    x = 126,618,191,390.25/161,854.50
  6. Step 6: Final answer
    x = 782,296.39

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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.