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Finding the Third Proportional to 141,510 and 214,085

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Solution

The third proportional to 141,510 and 214,085 is: 323,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,510 : 214,085 = 214,085 : x
  2. Step 2: Convert to fraction form
    141,510/214,085 = 214,085/x
  3. Step 3: Cross multiply
    141,510x = 214,085 × 214,085
  4. Step 4: Simplify right side
    141,510x = 45,832,387,225
  5. Step 5: Solve for x
    x = 45,832,387,225/141,510
  6. Step 6: Final answer
    x = 323,880.91

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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.