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Finding the Third Proportional to 123,396 and 270,363

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Solution

The third proportional to 123,396 and 270,363 is: 592,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,396 : 270,363 = 270,363 : x
  2. Step 2: Convert to fraction form
    123,396/270,363 = 270,363/x
  3. Step 3: Cross multiply
    123,396x = 270,363 × 270,363
  4. Step 4: Simplify right side
    123,396x = 73,096,151,769
  5. Step 5: Solve for x
    x = 73,096,151,769/123,396
  6. Step 6: Final answer
    x = 592,370.51

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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.