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Finding the Third Proportional to 137,764 and 301,732

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Solution

The third proportional to 137,764 and 301,732 is: 660,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,764 : 301,732 = 301,732 : x
  2. Step 2: Convert to fraction form
    137,764/301,732 = 301,732/x
  3. Step 3: Cross multiply
    137,764x = 301,732 × 301,732
  4. Step 4: Simplify right side
    137,764x = 91,042,199,824
  5. Step 5: Solve for x
    x = 91,042,199,824/137,764
  6. Step 6: Final answer
    x = 660,856.25

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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.