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Finding the Third Proportional to 191,952 and 446,238

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Solution

The third proportional to 191,952 and 446,238 is: 1,037,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,952 : 446,238 = 446,238 : x
  2. Step 2: Convert to fraction form
    191,952/446,238 = 446,238/x
  3. Step 3: Cross multiply
    191,952x = 446,238 × 446,238
  4. Step 4: Simplify right side
    191,952x = 199,128,352,644
  5. Step 5: Solve for x
    x = 199,128,352,644/191,952
  6. Step 6: Final answer
    x = 1,037,386.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.