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Finding the Third Proportional to 155,850 and 227,943

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Solution

The third proportional to 155,850 and 227,943 is: 333,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,850 : 227,943 = 227,943 : x
  2. Step 2: Convert to fraction form
    155,850/227,943 = 227,943/x
  3. Step 3: Cross multiply
    155,850x = 227,943 × 227,943
  4. Step 4: Simplify right side
    155,850x = 51,958,011,249
  5. Step 5: Solve for x
    x = 51,958,011,249/155,850
  6. Step 6: Final answer
    x = 333,384.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.