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Finding the Third Proportional to 199,133 and 315,470.50

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Solution

The third proportional to 199,133 and 315,470.50 is: 499,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,133 : 315,470.50 = 315,470.50 : x
  2. Step 2: Convert to fraction form
    199,133/315,470.50 = 315,470.50/x
  3. Step 3: Cross multiply
    199,133x = 315,470.50 × 315,470.50
  4. Step 4: Simplify right side
    199,133x = 99,521,636,370.25
  5. Step 5: Solve for x
    x = 99,521,636,370.25/199,133
  6. Step 6: Final answer
    x = 499,774.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.