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Finding the Third Proportional to 73,983.38 and 160,535.25

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Solution

The third proportional to 73,983.38 and 160,535.25 is: 348,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,983.38 : 160,535.25 = 160,535.25 : x
  2. Step 2: Convert to fraction form
    73,983.38/160,535.25 = 160,535.25/x
  3. Step 3: Cross multiply
    73,983.38x = 160,535.25 × 160,535.25
  4. Step 4: Simplify right side
    73,983.38x = 25,771,566,492.56
  5. Step 5: Solve for x
    x = 25,771,566,492.56/73,983.38
  6. Step 6: Final answer
    x = 348,342.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.