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Finding the Third Proportional to 84,719.50 and 176,462

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Solution

The third proportional to 84,719.50 and 176,462 is: 367,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,719.50 : 176,462 = 176,462 : x
  2. Step 2: Convert to fraction form
    84,719.50/176,462 = 176,462/x
  3. Step 3: Cross multiply
    84,719.50x = 176,462 × 176,462
  4. Step 4: Simplify right side
    84,719.50x = 31,138,837,444
  5. Step 5: Solve for x
    x = 31,138,837,444/84,719.50
  6. Step 6: Final answer
    x = 367,552.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.