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Finding the Third Proportional to 160,496.75 and 338,895.30

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Solution

The third proportional to 160,496.75 and 338,895.30 is: 715,590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,496.75 : 338,895.30 = 338,895.30 : x
  2. Step 2: Convert to fraction form
    160,496.75/338,895.30 = 338,895.30/x
  3. Step 3: Cross multiply
    160,496.75x = 338,895.30 × 338,895.30
  4. Step 4: Simplify right side
    160,496.75x = 114,850,023,567.80
  5. Step 5: Solve for x
    x = 114,850,023,567.80/160,496.75
  6. Step 6: Final answer
    x = 715,590.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.