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Finding the Third Proportional to 131,664 and 288,330

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Solution

The third proportional to 131,664 and 288,330 is: 631,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,664 : 288,330 = 288,330 : x
  2. Step 2: Convert to fraction form
    131,664/288,330 = 288,330/x
  3. Step 3: Cross multiply
    131,664x = 288,330 × 288,330
  4. Step 4: Simplify right side
    131,664x = 83,134,188,900
  5. Step 5: Solve for x
    x = 83,134,188,900/131,664
  6. Step 6: Final answer
    x = 631,411.69

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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.