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Finding the Third Proportional to 191,745 and 403,322

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Solution

The third proportional to 191,745 and 403,322 is: 848,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,745 : 403,322 = 403,322 : x
  2. Step 2: Convert to fraction form
    191,745/403,322 = 403,322/x
  3. Step 3: Cross multiply
    191,745x = 403,322 × 403,322
  4. Step 4: Simplify right side
    191,745x = 162,668,635,684
  5. Step 5: Solve for x
    x = 162,668,635,684/191,745
  6. Step 6: Final answer
    x = 848,359.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.