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Finding the Third Proportional to 191,708 and 403,246

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Solution

The third proportional to 191,708 and 403,246 is: 848,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,708 : 403,246 = 403,246 : x
  2. Step 2: Convert to fraction form
    191,708/403,246 = 403,246/x
  3. Step 3: Cross multiply
    191,708x = 403,246 × 403,246
  4. Step 4: Simplify right side
    191,708x = 162,607,336,516
  5. Step 5: Solve for x
    x = 162,607,336,516/191,708
  6. Step 6: Final answer
    x = 848,203.19

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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.