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Finding the Third Proportional to 73,238 and 157,516

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Solution

The third proportional to 73,238 and 157,516 is: 338,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,238 : 157,516 = 157,516 : x
  2. Step 2: Convert to fraction form
    73,238/157,516 = 157,516/x
  3. Step 3: Cross multiply
    73,238x = 157,516 × 157,516
  4. Step 4: Simplify right side
    73,238x = 24,811,290,256
  5. Step 5: Solve for x
    x = 24,811,290,256/73,238
  6. Step 6: Final answer
    x = 338,776.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.