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Finding the Third Proportional to 199,621.50 and 432,465

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Solution

The third proportional to 199,621.50 and 432,465 is: 936,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,621.50 : 432,465 = 432,465 : x
  2. Step 2: Convert to fraction form
    199,621.50/432,465 = 432,465/x
  3. Step 3: Cross multiply
    199,621.50x = 432,465 × 432,465
  4. Step 4: Simplify right side
    199,621.50x = 187,025,976,225
  5. Step 5: Solve for x
    x = 187,025,976,225/199,621.50
  6. Step 6: Final answer
    x = 936,902.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.