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Finding the Third Proportional to 199,657 and 436,159

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Solution

The third proportional to 199,657 and 436,159 is: 952,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,657 : 436,159 = 436,159 : x
  2. Step 2: Convert to fraction form
    199,657/436,159 = 436,159/x
  3. Step 3: Cross multiply
    199,657x = 436,159 × 436,159
  4. Step 4: Simplify right side
    199,657x = 190,234,673,281
  5. Step 5: Solve for x
    x = 190,234,673,281/199,657
  6. Step 6: Final answer
    x = 952,807.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.