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Finding the Third Proportional to 189,369 and 294,565.50

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Solution

The third proportional to 189,369 and 294,565.50 is: 458,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,369 : 294,565.50 = 294,565.50 : x
  2. Step 2: Convert to fraction form
    189,369/294,565.50 = 294,565.50/x
  3. Step 3: Cross multiply
    189,369x = 294,565.50 × 294,565.50
  4. Step 4: Simplify right side
    189,369x = 86,768,833,790.25
  5. Step 5: Solve for x
    x = 86,768,833,790.25/189,369
  6. Step 6: Final answer
    x = 458,199.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.