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Finding the Third Proportional to 84,814.50 and 176,607

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Solution

The third proportional to 84,814.50 and 176,607 is: 367,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,814.50 : 176,607 = 176,607 : x
  2. Step 2: Convert to fraction form
    84,814.50/176,607 = 176,607/x
  3. Step 3: Cross multiply
    84,814.50x = 176,607 × 176,607
  4. Step 4: Simplify right side
    84,814.50x = 31,190,032,449
  5. Step 5: Solve for x
    x = 31,190,032,449/84,814.50
  6. Step 6: Final answer
    x = 367,744.11

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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.