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Finding the Third Proportional to 142,078 and 328,060

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Solution

The third proportional to 142,078 and 328,060 is: 757,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,078 : 328,060 = 328,060 : x
  2. Step 2: Convert to fraction form
    142,078/328,060 = 328,060/x
  3. Step 3: Cross multiply
    142,078x = 328,060 × 328,060
  4. Step 4: Simplify right side
    142,078x = 107,623,363,600
  5. Step 5: Solve for x
    x = 107,623,363,600/142,078
  6. Step 6: Final answer
    x = 757,494.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.