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Finding the Third Proportional to 139,701.50 and 301,727

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Solution

The third proportional to 139,701.50 and 301,727 is: 651,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,701.50 : 301,727 = 301,727 : x
  2. Step 2: Convert to fraction form
    139,701.50/301,727 = 301,727/x
  3. Step 3: Cross multiply
    139,701.50x = 301,727 × 301,727
  4. Step 4: Simplify right side
    139,701.50x = 91,039,182,529
  5. Step 5: Solve for x
    x = 91,039,182,529/139,701.50
  6. Step 6: Final answer
    x = 651,669.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.