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Finding the Third Proportional to 131,401.50 and 288,237

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Solution

The third proportional to 131,401.50 and 288,237 is: 632,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,401.50 : 288,237 = 288,237 : x
  2. Step 2: Convert to fraction form
    131,401.50/288,237 = 288,237/x
  3. Step 3: Cross multiply
    131,401.50x = 288,237 × 288,237
  4. Step 4: Simplify right side
    131,401.50x = 83,080,568,169
  5. Step 5: Solve for x
    x = 83,080,568,169/131,401.50
  6. Step 6: Final answer
    x = 632,264.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.