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Finding the Third Proportional to 143,659 and 227,365

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Solution

The third proportional to 143,659 and 227,365 is: 359,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,659 : 227,365 = 227,365 : x
  2. Step 2: Convert to fraction form
    143,659/227,365 = 227,365/x
  3. Step 3: Cross multiply
    143,659x = 227,365 × 227,365
  4. Step 4: Simplify right side
    143,659x = 51,694,843,225
  5. Step 5: Solve for x
    x = 51,694,843,225/143,659
  6. Step 6: Final answer
    x = 359,844.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.