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Finding the Third Proportional to 73,697 and 157,908.50

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Solution

The third proportional to 73,697 and 157,908.50 is: 338,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,697 : 157,908.50 = 157,908.50 : x
  2. Step 2: Convert to fraction form
    73,697/157,908.50 = 157,908.50/x
  3. Step 3: Cross multiply
    73,697x = 157,908.50 × 157,908.50
  4. Step 4: Simplify right side
    73,697x = 24,935,094,372.25
  5. Step 5: Solve for x
    x = 24,935,094,372.25/73,697
  6. Step 6: Final answer
    x = 338,346.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.