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Finding the Third Proportional to 142,880 and 201,264

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Solution

The third proportional to 142,880 and 201,264 is: 283,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,880 : 201,264 = 201,264 : x
  2. Step 2: Convert to fraction form
    142,880/201,264 = 201,264/x
  3. Step 3: Cross multiply
    142,880x = 201,264 × 201,264
  4. Step 4: Simplify right side
    142,880x = 40,507,197,696
  5. Step 5: Solve for x
    x = 40,507,197,696/142,880
  6. Step 6: Final answer
    x = 283,505.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.