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Finding the Third Proportional to 160,744.50 and 363,588.75

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Solution

The third proportional to 160,744.50 and 363,588.75 is: 822,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,744.50 : 363,588.75 = 363,588.75 : x
  2. Step 2: Convert to fraction form
    160,744.50/363,588.75 = 363,588.75/x
  3. Step 3: Cross multiply
    160,744.50x = 363,588.75 × 363,588.75
  4. Step 4: Simplify right side
    160,744.50x = 132,196,779,126.56
  5. Step 5: Solve for x
    x = 132,196,779,126.56/160,744.50
  6. Step 6: Final answer
    x = 822,403.13

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.