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Finding the Third Proportional to 195,762 and 429,342

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Solution

The third proportional to 195,762 and 429,342 is: 941,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,762 : 429,342 = 429,342 : x
  2. Step 2: Convert to fraction form
    195,762/429,342 = 429,342/x
  3. Step 3: Cross multiply
    195,762x = 429,342 × 429,342
  4. Step 4: Simplify right side
    195,762x = 184,334,552,964
  5. Step 5: Solve for x
    x = 184,334,552,964/195,762
  6. Step 6: Final answer
    x = 941,625.82

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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.