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Finding the Third Proportional to 199,850 and 429,346

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Solution

The third proportional to 199,850 and 429,346 is: 922,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,850 : 429,346 = 429,346 : x
  2. Step 2: Convert to fraction form
    199,850/429,346 = 429,346/x
  3. Step 3: Cross multiply
    199,850x = 429,346 × 429,346
  4. Step 4: Simplify right side
    199,850x = 184,337,987,716
  5. Step 5: Solve for x
    x = 184,337,987,716/199,850
  6. Step 6: Final answer
    x = 922,381.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.