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Finding the Third Proportional to 145,846 and 224,991

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Solution

The third proportional to 145,846 and 224,991 is: 347,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,846 : 224,991 = 224,991 : x
  2. Step 2: Convert to fraction form
    145,846/224,991 = 224,991/x
  3. Step 3: Cross multiply
    145,846x = 224,991 × 224,991
  4. Step 4: Simplify right side
    145,846x = 50,620,950,081
  5. Step 5: Solve for x
    x = 50,620,950,081/145,846
  6. Step 6: Final answer
    x = 347,084.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.