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Finding the Third Proportional to 137,574 and 301,068

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Solution

The third proportional to 137,574 and 301,068 is: 658,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,574 : 301,068 = 301,068 : x
  2. Step 2: Convert to fraction form
    137,574/301,068 = 301,068/x
  3. Step 3: Cross multiply
    137,574x = 301,068 × 301,068
  4. Step 4: Simplify right side
    137,574x = 90,641,940,624
  5. Step 5: Solve for x
    x = 90,641,940,624/137,574
  6. Step 6: Final answer
    x = 658,859.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.