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Finding the Third Proportional to 70,176.50 and 153,477

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Solution

The third proportional to 70,176.50 and 153,477 is: 335,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,176.50 : 153,477 = 153,477 : x
  2. Step 2: Convert to fraction form
    70,176.50/153,477 = 153,477/x
  3. Step 3: Cross multiply
    70,176.50x = 153,477 × 153,477
  4. Step 4: Simplify right side
    70,176.50x = 23,555,189,529
  5. Step 5: Solve for x
    x = 23,555,189,529/70,176.50
  6. Step 6: Final answer
    x = 335,656.37

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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.