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Finding the Third Proportional to 126,952 and 300,770

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Solution

The third proportional to 126,952 and 300,770 is: 712,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,952 : 300,770 = 300,770 : x
  2. Step 2: Convert to fraction form
    126,952/300,770 = 300,770/x
  3. Step 3: Cross multiply
    126,952x = 300,770 × 300,770
  4. Step 4: Simplify right side
    126,952x = 90,462,592,900
  5. Step 5: Solve for x
    x = 90,462,592,900/126,952
  6. Step 6: Final answer
    x = 712,573.20

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.