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Finding the Third Proportional to 222,220 and 317,545

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Solution

The third proportional to 222,220 and 317,545 is: 453,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,220 : 317,545 = 317,545 : x
  2. Step 2: Convert to fraction form
    222,220/317,545 = 317,545/x
  3. Step 3: Cross multiply
    222,220x = 317,545 × 317,545
  4. Step 4: Simplify right side
    222,220x = 100,834,827,025
  5. Step 5: Solve for x
    x = 100,834,827,025/222,220
  6. Step 6: Final answer
    x = 453,761.26

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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.