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Finding the Third Proportional to 66,858.75 and 148,476.38

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Solution

The third proportional to 66,858.75 and 148,476.38 is: 329,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,858.75 : 148,476.38 = 148,476.38 : x
  2. Step 2: Convert to fraction form
    66,858.75/148,476.38 = 148,476.38/x
  3. Step 3: Cross multiply
    66,858.75x = 148,476.38 × 148,476.38
  4. Step 4: Simplify right side
    66,858.75x = 22,045,233,933.14
  5. Step 5: Solve for x
    x = 22,045,233,933.14/66,858.75
  6. Step 6: Final answer
    x = 329,728.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.