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Finding the Third Proportional to 195,984 and 429,335.50

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Solution

The third proportional to 195,984 and 429,335.50 is: 940,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,984 : 429,335.50 = 429,335.50 : x
  2. Step 2: Convert to fraction form
    195,984/429,335.50 = 429,335.50/x
  3. Step 3: Cross multiply
    195,984x = 429,335.50 × 429,335.50
  4. Step 4: Simplify right side
    195,984x = 184,328,971,560.25
  5. Step 5: Solve for x
    x = 184,328,971,560.25/195,984
  6. Step 6: Final answer
    x = 940,530.71

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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.