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Finding the Third Proportional to 190,724 and 288,544

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Solution

The third proportional to 190,724 and 288,544 is: 436,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,724 : 288,544 = 288,544 : x
  2. Step 2: Convert to fraction form
    190,724/288,544 = 288,544/x
  3. Step 3: Cross multiply
    190,724x = 288,544 × 288,544
  4. Step 4: Simplify right side
    190,724x = 83,257,639,936
  5. Step 5: Solve for x
    x = 83,257,639,936/190,724
  6. Step 6: Final answer
    x = 436,534.68

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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.