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Finding the Third Proportional to 191,272.13 and 295,137

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Solution

The third proportional to 191,272.13 and 295,137 is: 455,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,272.13 : 295,137 = 295,137 : x
  2. Step 2: Convert to fraction form
    191,272.13/295,137 = 295,137/x
  3. Step 3: Cross multiply
    191,272.13x = 295,137 × 295,137
  4. Step 4: Simplify right side
    191,272.13x = 87,105,848,769
  5. Step 5: Solve for x
    x = 87,105,848,769/191,272.13
  6. Step 6: Final answer
    x = 455,402.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.