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Finding the Third Proportional to 145,106 and 227,883

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Solution

The third proportional to 145,106 and 227,883 is: 357,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,106 : 227,883 = 227,883 : x
  2. Step 2: Convert to fraction form
    145,106/227,883 = 227,883/x
  3. Step 3: Cross multiply
    145,106x = 227,883 × 227,883
  4. Step 4: Simplify right side
    145,106x = 51,930,661,689
  5. Step 5: Solve for x
    x = 51,930,661,689/145,106
  6. Step 6: Final answer
    x = 357,880.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.