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Finding the Third Proportional to 142,492 and 304,744

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Solution

The third proportional to 142,492 and 304,744 is: 651,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,492 : 304,744 = 304,744 : x
  2. Step 2: Convert to fraction form
    142,492/304,744 = 304,744/x
  3. Step 3: Cross multiply
    142,492x = 304,744 × 304,744
  4. Step 4: Simplify right side
    142,492x = 92,868,905,536
  5. Step 5: Solve for x
    x = 92,868,905,536/142,492
  6. Step 6: Final answer
    x = 651,748.21

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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.