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Finding the Third Proportional to 195,985.50 and 429,339

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Solution

The third proportional to 195,985.50 and 429,339 is: 940,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,985.50 : 429,339 = 429,339 : x
  2. Step 2: Convert to fraction form
    195,985.50/429,339 = 429,339/x
  3. Step 3: Cross multiply
    195,985.50x = 429,339 × 429,339
  4. Step 4: Simplify right side
    195,985.50x = 184,331,976,921
  5. Step 5: Solve for x
    x = 184,331,976,921/195,985.50
  6. Step 6: Final answer
    x = 940,538.85

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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.