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Finding the Third Proportional to 195,990 and 429,346

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Solution

The third proportional to 195,990 and 429,346 is: 940,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,990 : 429,346 = 429,346 : x
  2. Step 2: Convert to fraction form
    195,990/429,346 = 429,346/x
  3. Step 3: Cross multiply
    195,990x = 429,346 × 429,346
  4. Step 4: Simplify right side
    195,990x = 184,337,987,716
  5. Step 5: Solve for x
    x = 184,337,987,716/195,990
  6. Step 6: Final answer
    x = 940,547.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.