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Finding the Third Proportional to 160,895.50 and 218,514.25

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Solution

The third proportional to 160,895.50 and 218,514.25 is: 296,767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,895.50 : 218,514.25 = 218,514.25 : x
  2. Step 2: Convert to fraction form
    160,895.50/218,514.25 = 218,514.25/x
  3. Step 3: Cross multiply
    160,895.50x = 218,514.25 × 218,514.25
  4. Step 4: Simplify right side
    160,895.50x = 47,748,477,453.06
  5. Step 5: Solve for x
    x = 47,748,477,453.06/160,895.50
  6. Step 6: Final answer
    x = 296,767.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.