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Finding the Third Proportional to 127,632 and 278,224

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Solution

The third proportional to 127,632 and 278,224 is: 606,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,632 : 278,224 = 278,224 : x
  2. Step 2: Convert to fraction form
    127,632/278,224 = 278,224/x
  3. Step 3: Cross multiply
    127,632x = 278,224 × 278,224
  4. Step 4: Simplify right side
    127,632x = 77,408,594,176
  5. Step 5: Solve for x
    x = 77,408,594,176/127,632
  6. Step 6: Final answer
    x = 606,498.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.