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Finding the Third Proportional to 155,630 and 347,548

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Solution

The third proportional to 155,630 and 347,548 is: 776,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,630 : 347,548 = 347,548 : x
  2. Step 2: Convert to fraction form
    155,630/347,548 = 347,548/x
  3. Step 3: Cross multiply
    155,630x = 347,548 × 347,548
  4. Step 4: Simplify right side
    155,630x = 120,789,612,304
  5. Step 5: Solve for x
    x = 120,789,612,304/155,630
  6. Step 6: Final answer
    x = 776,133.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.