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Finding the Third Proportional to 84,697.50 and 178,791

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Solution

The third proportional to 84,697.50 and 178,791 is: 377,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,697.50 : 178,791 = 178,791 : x
  2. Step 2: Convert to fraction form
    84,697.50/178,791 = 178,791/x
  3. Step 3: Cross multiply
    84,697.50x = 178,791 × 178,791
  4. Step 4: Simplify right side
    84,697.50x = 31,966,221,681
  5. Step 5: Solve for x
    x = 31,966,221,681/84,697.50
  6. Step 6: Final answer
    x = 377,416.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.