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Finding the Third Proportional to 222,114.50 and 316,557.75

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Solution

The third proportional to 222,114.50 and 316,557.75 is: 451,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,114.50 : 316,557.75 = 316,557.75 : x
  2. Step 2: Convert to fraction form
    222,114.50/316,557.75 = 316,557.75/x
  3. Step 3: Cross multiply
    222,114.50x = 316,557.75 × 316,557.75
  4. Step 4: Simplify right side
    222,114.50x = 100,208,809,085.06
  5. Step 5: Solve for x
    x = 100,208,809,085.06/222,114.50
  6. Step 6: Final answer
    x = 451,158.34

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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.