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Finding the Third Proportional to 191,646 and 403,154

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Solution

The third proportional to 191,646 and 403,154 is: 848,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,646 : 403,154 = 403,154 : x
  2. Step 2: Convert to fraction form
    191,646/403,154 = 403,154/x
  3. Step 3: Cross multiply
    191,646x = 403,154 × 403,154
  4. Step 4: Simplify right side
    191,646x = 162,533,147,716
  5. Step 5: Solve for x
    x = 162,533,147,716/191,646
  6. Step 6: Final answer
    x = 848,090.48

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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.