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Finding the Third Proportional to 195,985 and 429,337

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Solution

The third proportional to 195,985 and 429,337 is: 940,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,985 : 429,337 = 429,337 : x
  2. Step 2: Convert to fraction form
    195,985/429,337 = 429,337/x
  3. Step 3: Cross multiply
    195,985x = 429,337 × 429,337
  4. Step 4: Simplify right side
    195,985x = 184,330,259,569
  5. Step 5: Solve for x
    x = 184,330,259,569/195,985
  6. Step 6: Final answer
    x = 940,532.49

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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.