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Finding the Third Proportional to 106,492 and 229,386

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Solution

The third proportional to 106,492 and 229,386 is: 494,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492 : 229,386 = 229,386 : x
  2. Step 2: Convert to fraction form
    106,492/229,386 = 229,386/x
  3. Step 3: Cross multiply
    106,492x = 229,386 × 229,386
  4. Step 4: Simplify right side
    106,492x = 52,617,936,996
  5. Step 5: Solve for x
    x = 52,617,936,996/106,492
  6. Step 6: Final answer
    x = 494,102.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.