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Finding the Third Proportional to 142,440 and 306,324

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Solution

The third proportional to 142,440 and 306,324 is: 658,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,440 : 306,324 = 306,324 : x
  2. Step 2: Convert to fraction form
    142,440/306,324 = 306,324/x
  3. Step 3: Cross multiply
    142,440x = 306,324 × 306,324
  4. Step 4: Simplify right side
    142,440x = 93,834,392,976
  5. Step 5: Solve for x
    x = 93,834,392,976/142,440
  6. Step 6: Final answer
    x = 658,764.34

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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.