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Finding the Third Proportional to 142,728 and 310,060

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Solution

The third proportional to 142,728 and 310,060 is: 673,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,728 : 310,060 = 310,060 : x
  2. Step 2: Convert to fraction form
    142,728/310,060 = 310,060/x
  3. Step 3: Cross multiply
    142,728x = 310,060 × 310,060
  4. Step 4: Simplify right side
    142,728x = 96,137,203,600
  5. Step 5: Solve for x
    x = 96,137,203,600/142,728
  6. Step 6: Final answer
    x = 673,569.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.