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Finding the Third Proportional to 191,657 and 403,174

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Solution

The third proportional to 191,657 and 403,174 is: 848,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,657 : 403,174 = 403,174 : x
  2. Step 2: Convert to fraction form
    191,657/403,174 = 403,174/x
  3. Step 3: Cross multiply
    191,657x = 403,174 × 403,174
  4. Step 4: Simplify right side
    191,657x = 162,549,274,276
  5. Step 5: Solve for x
    x = 162,549,274,276/191,657
  6. Step 6: Final answer
    x = 848,125.95

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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.