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Finding the Third Proportional to 191,658 and 403,176

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Solution

The third proportional to 191,658 and 403,176 is: 848,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,658 : 403,176 = 403,176 : x
  2. Step 2: Convert to fraction form
    191,658/403,176 = 403,176/x
  3. Step 3: Cross multiply
    191,658x = 403,176 × 403,176
  4. Step 4: Simplify right side
    191,658x = 162,550,886,976
  5. Step 5: Solve for x
    x = 162,550,886,976/191,658
  6. Step 6: Final answer
    x = 848,129.93

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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.