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Finding the Third Proportional to 139,754 and 301,640

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Solution

The third proportional to 139,754 and 301,640 is: 651,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,754 : 301,640 = 301,640 : x
  2. Step 2: Convert to fraction form
    139,754/301,640 = 301,640/x
  3. Step 3: Cross multiply
    139,754x = 301,640 × 301,640
  4. Step 4: Simplify right side
    139,754x = 90,986,689,600
  5. Step 5: Solve for x
    x = 90,986,689,600/139,754
  6. Step 6: Final answer
    x = 651,048.91

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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.