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Finding the Third Proportional to 74,859.19 and 164,784.38

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Solution

The third proportional to 74,859.19 and 164,784.38 is: 362,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,859.19 : 164,784.38 = 164,784.38 : x
  2. Step 2: Convert to fraction form
    74,859.19/164,784.38 = 164,784.38/x
  3. Step 3: Cross multiply
    74,859.19x = 164,784.38 × 164,784.38
  4. Step 4: Simplify right side
    74,859.19x = 27,153,890,244.14
  5. Step 5: Solve for x
    x = 27,153,890,244.14/74,859.19
  6. Step 6: Final answer
    x = 362,732.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.