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Finding the Third Proportional to 195,994.50 and 429,354

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Solution

The third proportional to 195,994.50 and 429,354 is: 940,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,994.50 : 429,354 = 429,354 : x
  2. Step 2: Convert to fraction form
    195,994.50/429,354 = 429,354/x
  3. Step 3: Cross multiply
    195,994.50x = 429,354 × 429,354
  4. Step 4: Simplify right side
    195,994.50x = 184,344,857,316
  5. Step 5: Solve for x
    x = 184,344,857,316/195,994.50
  6. Step 6: Final answer
    x = 940,561.38

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