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Finding the Third Proportional to 222,130 and 500,013

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Solution

The third proportional to 222,130 and 500,013 is: 1,125,525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,130 : 500,013 = 500,013 : x
  2. Step 2: Convert to fraction form
    222,130/500,013 = 500,013/x
  3. Step 3: Cross multiply
    222,130x = 500,013 × 500,013
  4. Step 4: Simplify right side
    222,130x = 250,013,000,169
  5. Step 5: Solve for x
    x = 250,013,000,169/222,130
  6. Step 6: Final answer
    x = 1,125,525.59

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.