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Finding the Third Proportional to 129,954 and 284,726

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Solution

The third proportional to 129,954 and 284,726 is: 623,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,954 : 284,726 = 284,726 : x
  2. Step 2: Convert to fraction form
    129,954/284,726 = 284,726/x
  3. Step 3: Cross multiply
    129,954x = 284,726 × 284,726
  4. Step 4: Simplify right side
    129,954x = 81,068,895,076
  5. Step 5: Solve for x
    x = 81,068,895,076/129,954
  6. Step 6: Final answer
    x = 623,827.62

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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.