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Finding the Third Proportional to 147,878 and 325,252

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Solution

The third proportional to 147,878 and 325,252 is: 715,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,878 : 325,252 = 325,252 : x
  2. Step 2: Convert to fraction form
    147,878/325,252 = 325,252/x
  3. Step 3: Cross multiply
    147,878x = 325,252 × 325,252
  4. Step 4: Simplify right side
    147,878x = 105,788,863,504
  5. Step 5: Solve for x
    x = 105,788,863,504/147,878
  6. Step 6: Final answer
    x = 715,379.32

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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.