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Finding the Third Proportional to 142,758 and 305,280

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Solution

The third proportional to 142,758 and 305,280 is: 652,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,758 : 305,280 = 305,280 : x
  2. Step 2: Convert to fraction form
    142,758/305,280 = 305,280/x
  3. Step 3: Cross multiply
    142,758x = 305,280 × 305,280
  4. Step 4: Simplify right side
    142,758x = 93,195,878,400
  5. Step 5: Solve for x
    x = 93,195,878,400/142,758
  6. Step 6: Final answer
    x = 652,824.21

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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.