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Finding the Third Proportional to 137,401.50 and 301,371

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Solution

The third proportional to 137,401.50 and 301,371 is: 661,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,401.50 : 301,371 = 301,371 : x
  2. Step 2: Convert to fraction form
    137,401.50/301,371 = 301,371/x
  3. Step 3: Cross multiply
    137,401.50x = 301,371 × 301,371
  4. Step 4: Simplify right side
    137,401.50x = 90,824,479,641
  5. Step 5: Solve for x
    x = 90,824,479,641/137,401.50
  6. Step 6: Final answer
    x = 661,015.20

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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.