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Finding the Third Proportional to 84,521.81 and 178,475.06

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Solution

The third proportional to 84,521.81 and 178,475.06 is: 376,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,521.81 : 178,475.06 = 178,475.06 : x
  2. Step 2: Convert to fraction form
    84,521.81/178,475.06 = 178,475.06/x
  3. Step 3: Cross multiply
    84,521.81x = 178,475.06 × 178,475.06
  4. Step 4: Simplify right side
    84,521.81x = 31,853,347,934.38
  5. Step 5: Solve for x
    x = 31,853,347,934.38/84,521.81
  6. Step 6: Final answer
    x = 376,865.41

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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.