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Finding the Third Proportional to 250,989.75 and 377,036.25

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Solution

The third proportional to 250,989.75 and 377,036.25 is: 566,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,989.75 : 377,036.25 = 377,036.25 : x
  2. Step 2: Convert to fraction form
    250,989.75/377,036.25 = 377,036.25/x
  3. Step 3: Cross multiply
    250,989.75x = 377,036.25 × 377,036.25
  4. Step 4: Simplify right side
    250,989.75x = 142,156,333,814.06
  5. Step 5: Solve for x
    x = 142,156,333,814.06/250,989.75
  6. Step 6: Final answer
    x = 566,383.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.