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Finding the Third Proportional to 199,660 and 432,516

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Solution

The third proportional to 199,660 and 432,516 is: 936,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,660 : 432,516 = 432,516 : x
  2. Step 2: Convert to fraction form
    199,660/432,516 = 432,516/x
  3. Step 3: Cross multiply
    199,660x = 432,516 × 432,516
  4. Step 4: Simplify right side
    199,660x = 187,070,090,256
  5. Step 5: Solve for x
    x = 187,070,090,256/199,660
  6. Step 6: Final answer
    x = 936,943.25

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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.