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Finding the Third Proportional to 100,284 and 155,466

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Solution

The third proportional to 100,284 and 155,466 is: 241,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,284 : 155,466 = 155,466 : x
  2. Step 2: Convert to fraction form
    100,284/155,466 = 155,466/x
  3. Step 3: Cross multiply
    100,284x = 155,466 × 155,466
  4. Step 4: Simplify right side
    100,284x = 24,169,677,156
  5. Step 5: Solve for x
    x = 24,169,677,156/100,284
  6. Step 6: Final answer
    x = 241,012.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.