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Finding the Third Proportional to 148,878 and 325,296

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Solution

The third proportional to 148,878 and 325,296 is: 710,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,878 : 325,296 = 325,296 : x
  2. Step 2: Convert to fraction form
    148,878/325,296 = 325,296/x
  3. Step 3: Cross multiply
    148,878x = 325,296 × 325,296
  4. Step 4: Simplify right side
    148,878x = 105,817,487,616
  5. Step 5: Solve for x
    x = 105,817,487,616/148,878
  6. Step 6: Final answer
    x = 710,766.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.