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Finding the Third Proportional to 124,664 and 270,464

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Solution

The third proportional to 124,664 and 270,464 is: 586,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,664 : 270,464 = 270,464 : x
  2. Step 2: Convert to fraction form
    124,664/270,464 = 270,464/x
  3. Step 3: Cross multiply
    124,664x = 270,464 × 270,464
  4. Step 4: Simplify right side
    124,664x = 73,150,775,296
  5. Step 5: Solve for x
    x = 73,150,775,296/124,664
  6. Step 6: Final answer
    x = 586,783.48

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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.