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Finding the Third Proportional to 195,984 and 429,336

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Solution

The third proportional to 195,984 and 429,336 is: 940,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,984 : 429,336 = 429,336 : x
  2. Step 2: Convert to fraction form
    195,984/429,336 = 429,336/x
  3. Step 3: Cross multiply
    195,984x = 429,336 × 429,336
  4. Step 4: Simplify right side
    195,984x = 184,329,400,896
  5. Step 5: Solve for x
    x = 184,329,400,896/195,984
  6. Step 6: Final answer
    x = 940,532.91

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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.