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Finding the Third Proportional to 190,729.50 and 288,549

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Solution

The third proportional to 190,729.50 and 288,549 is: 436,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,729.50 : 288,549 = 288,549 : x
  2. Step 2: Convert to fraction form
    190,729.50/288,549 = 288,549/x
  3. Step 3: Cross multiply
    190,729.50x = 288,549 × 288,549
  4. Step 4: Simplify right side
    190,729.50x = 83,260,525,401
  5. Step 5: Solve for x
    x = 83,260,525,401/190,729.50
  6. Step 6: Final answer
    x = 436,537.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.