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Finding the Third Proportional to 161,229 and 241,815.75

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Solution

The third proportional to 161,229 and 241,815.75 is: 362,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,229 : 241,815.75 = 241,815.75 : x
  2. Step 2: Convert to fraction form
    161,229/241,815.75 = 241,815.75/x
  3. Step 3: Cross multiply
    161,229x = 241,815.75 × 241,815.75
  4. Step 4: Simplify right side
    161,229x = 58,474,856,948.06
  5. Step 5: Solve for x
    x = 58,474,856,948.06/161,229
  6. Step 6: Final answer
    x = 362,682.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.