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Finding the Third Proportional to 189,873 and 291,370.50

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Solution

The third proportional to 189,873 and 291,370.50 is: 447,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,873 : 291,370.50 = 291,370.50 : x
  2. Step 2: Convert to fraction form
    189,873/291,370.50 = 291,370.50/x
  3. Step 3: Cross multiply
    189,873x = 291,370.50 × 291,370.50
  4. Step 4: Simplify right side
    189,873x = 84,896,768,270.25
  5. Step 5: Solve for x
    x = 84,896,768,270.25/189,873
  6. Step 6: Final answer
    x = 447,123.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.