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Finding the Third Proportional to 152,146 and 227,379

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Solution

The third proportional to 152,146 and 227,379 is: 339,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,146 : 227,379 = 227,379 : x
  2. Step 2: Convert to fraction form
    152,146/227,379 = 227,379/x
  3. Step 3: Cross multiply
    152,146x = 227,379 × 227,379
  4. Step 4: Simplify right side
    152,146x = 51,701,209,641
  5. Step 5: Solve for x
    x = 51,701,209,641/152,146
  6. Step 6: Final answer
    x = 339,813.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.