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Finding the Third Proportional to 142,074 and 328,050

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Solution

The third proportional to 142,074 and 328,050 is: 757,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,074 : 328,050 = 328,050 : x
  2. Step 2: Convert to fraction form
    142,074/328,050 = 328,050/x
  3. Step 3: Cross multiply
    142,074x = 328,050 × 328,050
  4. Step 4: Simplify right side
    142,074x = 107,616,802,500
  5. Step 5: Solve for x
    x = 107,616,802,500/142,074
  6. Step 6: Final answer
    x = 757,470.07

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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.