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Finding the Third Proportional to 155,814 and 222,045

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Solution

The third proportional to 155,814 and 222,045 is: 316,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,814 : 222,045 = 222,045 : x
  2. Step 2: Convert to fraction form
    155,814/222,045 = 222,045/x
  3. Step 3: Cross multiply
    155,814x = 222,045 × 222,045
  4. Step 4: Simplify right side
    155,814x = 49,303,982,025
  5. Step 5: Solve for x
    x = 49,303,982,025/155,814
  6. Step 6: Final answer
    x = 316,428.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.