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Finding the Third Proportional to 199,611 and 293,572.50

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Solution

The third proportional to 199,611 and 293,572.50 is: 431,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,611 : 293,572.50 = 293,572.50 : x
  2. Step 2: Convert to fraction form
    199,611/293,572.50 = 293,572.50/x
  3. Step 3: Cross multiply
    199,611x = 293,572.50 × 293,572.50
  4. Step 4: Simplify right side
    199,611x = 86,184,812,756.25
  5. Step 5: Solve for x
    x = 86,184,812,756.25/199,611
  6. Step 6: Final answer
    x = 431,763.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.