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Finding the Third Proportional to 124,623 and 270,280

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Solution

The third proportional to 124,623 and 270,280 is: 586,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,623 : 270,280 = 270,280 : x
  2. Step 2: Convert to fraction form
    124,623/270,280 = 270,280/x
  3. Step 3: Cross multiply
    124,623x = 270,280 × 270,280
  4. Step 4: Simplify right side
    124,623x = 73,051,278,400
  5. Step 5: Solve for x
    x = 73,051,278,400/124,623
  6. Step 6: Final answer
    x = 586,178.14

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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.