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Finding the Third Proportional to 178,848.38 and 388,758.75

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Solution

The third proportional to 178,848.38 and 388,758.75 is: 845,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,848.38 : 388,758.75 = 388,758.75 : x
  2. Step 2: Convert to fraction form
    178,848.38/388,758.75 = 388,758.75/x
  3. Step 3: Cross multiply
    178,848.38x = 388,758.75 × 388,758.75
  4. Step 4: Simplify right side
    178,848.38x = 151,133,365,701.56
  5. Step 5: Solve for x
    x = 151,133,365,701.56/178,848.38
  6. Step 6: Final answer
    x = 845,036.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.