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Finding the Third Proportional to 118,371 and 251,526

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Solution

The third proportional to 118,371 and 251,526 is: 534,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,371 : 251,526 = 251,526 : x
  2. Step 2: Convert to fraction form
    118,371/251,526 = 251,526/x
  3. Step 3: Cross multiply
    118,371x = 251,526 × 251,526
  4. Step 4: Simplify right side
    118,371x = 63,265,328,676
  5. Step 5: Solve for x
    x = 63,265,328,676/118,371
  6. Step 6: Final answer
    x = 534,466.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.