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Finding the Third Proportional to 222,089.50 and 316,522.50

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Solution

The third proportional to 222,089.50 and 316,522.50 is: 451,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,089.50 : 316,522.50 = 316,522.50 : x
  2. Step 2: Convert to fraction form
    222,089.50/316,522.50 = 316,522.50/x
  3. Step 3: Cross multiply
    222,089.50x = 316,522.50 × 316,522.50
  4. Step 4: Simplify right side
    222,089.50x = 100,186,493,006.25
  5. Step 5: Solve for x
    x = 100,186,493,006.25/222,089.50
  6. Step 6: Final answer
    x = 451,108.64

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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.