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Finding the Third Proportional to 201,921 and 312,616.50

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Solution

The third proportional to 201,921 and 312,616.50 is: 483,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,921 : 312,616.50 = 312,616.50 : x
  2. Step 2: Convert to fraction form
    201,921/312,616.50 = 312,616.50/x
  3. Step 3: Cross multiply
    201,921x = 312,616.50 × 312,616.50
  4. Step 4: Simplify right side
    201,921x = 97,729,076,072.25
  5. Step 5: Solve for x
    x = 97,729,076,072.25/201,921
  6. Step 6: Final answer
    x = 483,996.59

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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.