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Finding the Third Proportional to 191,656 and 403,172

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Solution

The third proportional to 191,656 and 403,172 is: 848,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,656 : 403,172 = 403,172 : x
  2. Step 2: Convert to fraction form
    191,656/403,172 = 403,172/x
  3. Step 3: Cross multiply
    191,656x = 403,172 × 403,172
  4. Step 4: Simplify right side
    191,656x = 162,547,661,584
  5. Step 5: Solve for x
    x = 162,547,661,584/191,656
  6. Step 6: Final answer
    x = 848,121.96

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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.