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Finding the Third Proportional to 198,838.55 and 429,194.95

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Solution

The third proportional to 198,838.55 and 429,194.95 is: 926,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,838.55 : 429,194.95 = 429,194.95 : x
  2. Step 2: Convert to fraction form
    198,838.55/429,194.95 = 429,194.95/x
  3. Step 3: Cross multiply
    198,838.55x = 429,194.95 × 429,194.95
  4. Step 4: Simplify right side
    198,838.55x = 184,208,307,787.97
  5. Step 5: Solve for x
    x = 184,208,307,787.97/198,838.55
  6. Step 6: Final answer
    x = 926,421.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.