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Finding the Third Proportional to 84,729.50 and 176,476.50

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Solution

The third proportional to 84,729.50 and 176,476.50 is: 367,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,729.50 : 176,476.50 = 176,476.50 : x
  2. Step 2: Convert to fraction form
    84,729.50/176,476.50 = 176,476.50/x
  3. Step 3: Cross multiply
    84,729.50x = 176,476.50 × 176,476.50
  4. Step 4: Simplify right side
    84,729.50x = 31,143,955,052.25
  5. Step 5: Solve for x
    x = 31,143,955,052.25/84,729.50
  6. Step 6: Final answer
    x = 367,569.21

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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.