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Finding the Third Proportional to 110,303 and 155,329

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Solution

The third proportional to 110,303 and 155,329 is: 218,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,303 : 155,329 = 155,329 : x
  2. Step 2: Convert to fraction form
    110,303/155,329 = 155,329/x
  3. Step 3: Cross multiply
    110,303x = 155,329 × 155,329
  4. Step 4: Simplify right side
    110,303x = 24,127,098,241
  5. Step 5: Solve for x
    x = 24,127,098,241/110,303
  6. Step 6: Final answer
    x = 218,734.74

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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.