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Finding the Third Proportional to 156,004.88 and 222,932.25

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Solution

The third proportional to 156,004.88 and 222,932.25 is: 318,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,004.88 : 222,932.25 = 222,932.25 : x
  2. Step 2: Convert to fraction form
    156,004.88/222,932.25 = 222,932.25/x
  3. Step 3: Cross multiply
    156,004.88x = 222,932.25 × 222,932.25
  4. Step 4: Simplify right side
    156,004.88x = 49,698,788,090.06
  5. Step 5: Solve for x
    x = 49,698,788,090.06/156,004.88
  6. Step 6: Final answer
    x = 318,572.02

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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.