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Finding the Third Proportional to 123,970 and 270,980

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Solution

The third proportional to 123,970 and 270,980 is: 592,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,970 : 270,980 = 270,980 : x
  2. Step 2: Convert to fraction form
    123,970/270,980 = 270,980/x
  3. Step 3: Cross multiply
    123,970x = 270,980 × 270,980
  4. Step 4: Simplify right side
    123,970x = 73,430,160,400
  5. Step 5: Solve for x
    x = 73,430,160,400/123,970
  6. Step 6: Final answer
    x = 592,322.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.