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Finding the Third Proportional to 147,876 and 325,248

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Solution

The third proportional to 147,876 and 325,248 is: 715,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,876 : 325,248 = 325,248 : x
  2. Step 2: Convert to fraction form
    147,876/325,248 = 325,248/x
  3. Step 3: Cross multiply
    147,876x = 325,248 × 325,248
  4. Step 4: Simplify right side
    147,876x = 105,786,261,504
  5. Step 5: Solve for x
    x = 105,786,261,504/147,876
  6. Step 6: Final answer
    x = 715,371.40

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