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Finding the Third Proportional to 147,883 and 227,311.50

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Solution

The third proportional to 147,883 and 227,311.50 is: 349,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,883 : 227,311.50 = 227,311.50 : x
  2. Step 2: Convert to fraction form
    147,883/227,311.50 = 227,311.50/x
  3. Step 3: Cross multiply
    147,883x = 227,311.50 × 227,311.50
  4. Step 4: Simplify right side
    147,883x = 51,670,518,032.25
  5. Step 5: Solve for x
    x = 51,670,518,032.25/147,883
  6. Step 6: Final answer
    x = 349,401.34

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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.