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Finding the Third Proportional to 191,648.25 and 403,157.25

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Solution

The third proportional to 191,648.25 and 403,157.25 is: 848,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,648.25 : 403,157.25 = 403,157.25 : x
  2. Step 2: Convert to fraction form
    191,648.25/403,157.25 = 403,157.25/x
  3. Step 3: Cross multiply
    191,648.25x = 403,157.25 × 403,157.25
  4. Step 4: Simplify right side
    191,648.25x = 162,535,768,227.56
  5. Step 5: Solve for x
    x = 162,535,768,227.56/191,648.25
  6. Step 6: Final answer
    x = 848,094.19

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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.