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Finding the Third Proportional to 131,316 and 191,231.25

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Solution

The third proportional to 131,316 and 191,231.25 is: 278,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,316 : 191,231.25 = 191,231.25 : x
  2. Step 2: Convert to fraction form
    131,316/191,231.25 = 191,231.25/x
  3. Step 3: Cross multiply
    131,316x = 191,231.25 × 191,231.25
  4. Step 4: Simplify right side
    131,316x = 36,569,390,976.56
  5. Step 5: Solve for x
    x = 36,569,390,976.56/131,316
  6. Step 6: Final answer
    x = 278,483.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.