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Finding the Third Proportional to 113,857.50 and 247,401

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Solution

The third proportional to 113,857.50 and 247,401 is: 537,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,857.50 : 247,401 = 247,401 : x
  2. Step 2: Convert to fraction form
    113,857.50/247,401 = 247,401/x
  3. Step 3: Cross multiply
    113,857.50x = 247,401 × 247,401
  4. Step 4: Simplify right side
    113,857.50x = 61,207,254,801
  5. Step 5: Solve for x
    x = 61,207,254,801/113,857.50
  6. Step 6: Final answer
    x = 537,577.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.