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Finding the Third Proportional to 222,510 and 353,772

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Solution

The third proportional to 222,510 and 353,772 is: 562,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,510 : 353,772 = 353,772 : x
  2. Step 2: Convert to fraction form
    222,510/353,772 = 353,772/x
  3. Step 3: Cross multiply
    222,510x = 353,772 × 353,772
  4. Step 4: Simplify right side
    222,510x = 125,154,627,984
  5. Step 5: Solve for x
    x = 125,154,627,984/222,510
  6. Step 6: Final answer
    x = 562,467.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.