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Finding the Third Proportional to 191,638 and 403,121

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Solution

The third proportional to 191,638 and 403,121 is: 847,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,638 : 403,121 = 403,121 : x
  2. Step 2: Convert to fraction form
    191,638/403,121 = 403,121/x
  3. Step 3: Cross multiply
    191,638x = 403,121 × 403,121
  4. Step 4: Simplify right side
    191,638x = 162,506,540,641
  5. Step 5: Solve for x
    x = 162,506,540,641/191,638
  6. Step 6: Final answer
    x = 847,987.04

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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.