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Finding the Third Proportional to 100,430 and 155,503

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Solution

The third proportional to 100,430 and 155,503 is: 240,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,430 : 155,503 = 155,503 : x
  2. Step 2: Convert to fraction form
    100,430/155,503 = 155,503/x
  3. Step 3: Cross multiply
    100,430x = 155,503 × 155,503
  4. Step 4: Simplify right side
    100,430x = 24,181,183,009
  5. Step 5: Solve for x
    x = 24,181,183,009/100,430
  6. Step 6: Final answer
    x = 240,776.49

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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.