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Finding the Third Proportional to 124,830 and 270,396

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Solution

The third proportional to 124,830 and 270,396 is: 585,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,830 : 270,396 = 270,396 : x
  2. Step 2: Convert to fraction form
    124,830/270,396 = 270,396/x
  3. Step 3: Cross multiply
    124,830x = 270,396 × 270,396
  4. Step 4: Simplify right side
    124,830x = 73,113,996,816
  5. Step 5: Solve for x
    x = 73,113,996,816/124,830
  6. Step 6: Final answer
    x = 585,708.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.