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Finding the Third Proportional to 201,974 and 307,157.75

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Solution

The third proportional to 201,974 and 307,157.75 is: 467,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,974 : 307,157.75 = 307,157.75 : x
  2. Step 2: Convert to fraction form
    201,974/307,157.75 = 307,157.75/x
  3. Step 3: Cross multiply
    201,974x = 307,157.75 × 307,157.75
  4. Step 4: Simplify right side
    201,974x = 94,345,883,385.06
  5. Step 5: Solve for x
    x = 94,345,883,385.06/201,974
  6. Step 6: Final answer
    x = 467,118.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.