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Finding the Third Proportional to 191,652 and 403,152

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Solution

The third proportional to 191,652 and 403,152 is: 848,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,652 : 403,152 = 403,152 : x
  2. Step 2: Convert to fraction form
    191,652/403,152 = 403,152/x
  3. Step 3: Cross multiply
    191,652x = 403,152 × 403,152
  4. Step 4: Simplify right side
    191,652x = 162,531,535,104
  5. Step 5: Solve for x
    x = 162,531,535,104/191,652
  6. Step 6: Final answer
    x = 848,055.51

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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.