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Finding the Third Proportional to 151,480.38 and 230,368

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Solution

The third proportional to 151,480.38 and 230,368 is: 350,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,480.38 : 230,368 = 230,368 : x
  2. Step 2: Convert to fraction form
    151,480.38/230,368 = 230,368/x
  3. Step 3: Cross multiply
    151,480.38x = 230,368 × 230,368
  4. Step 4: Simplify right side
    151,480.38x = 53,069,415,424
  5. Step 5: Solve for x
    x = 53,069,415,424/151,480.38
  6. Step 6: Final answer
    x = 350,338.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.