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Finding the Third Proportional to 73,284.75 and 160,597.69

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Solution

The third proportional to 73,284.75 and 160,597.69 is: 351,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,284.75 : 160,597.69 = 160,597.69 : x
  2. Step 2: Convert to fraction form
    73,284.75/160,597.69 = 160,597.69/x
  3. Step 3: Cross multiply
    73,284.75x = 160,597.69 × 160,597.69
  4. Step 4: Simplify right side
    73,284.75x = 25,791,617,230.35
  5. Step 5: Solve for x
    x = 25,791,617,230.35/73,284.75
  6. Step 6: Final answer
    x = 351,937.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.