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Finding the Third Proportional to 222,164 and 483,748

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Solution

The third proportional to 222,164 and 483,748 is: 1,053,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,164 : 483,748 = 483,748 : x
  2. Step 2: Convert to fraction form
    222,164/483,748 = 483,748/x
  3. Step 3: Cross multiply
    222,164x = 483,748 × 483,748
  4. Step 4: Simplify right side
    222,164x = 234,012,127,504
  5. Step 5: Solve for x
    x = 234,012,127,504/222,164
  6. Step 6: Final answer
    x = 1,053,330.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.