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Finding the Third Proportional to 146,492 and 313,720

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Solution

The third proportional to 146,492 and 313,720 is: 671,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,492 : 313,720 = 313,720 : x
  2. Step 2: Convert to fraction form
    146,492/313,720 = 313,720/x
  3. Step 3: Cross multiply
    146,492x = 313,720 × 313,720
  4. Step 4: Simplify right side
    146,492x = 98,420,238,400
  5. Step 5: Solve for x
    x = 98,420,238,400/146,492
  6. Step 6: Final answer
    x = 671,847.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.