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Finding the Third Proportional to 198,913.50 and 429,601.50

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Solution

The third proportional to 198,913.50 and 429,601.50 is: 927,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,913.50 : 429,601.50 = 429,601.50 : x
  2. Step 2: Convert to fraction form
    198,913.50/429,601.50 = 429,601.50/x
  3. Step 3: Cross multiply
    198,913.50x = 429,601.50 × 429,601.50
  4. Step 4: Simplify right side
    198,913.50x = 184,557,448,802.25
  5. Step 5: Solve for x
    x = 184,557,448,802.25/198,913.50
  6. Step 6: Final answer
    x = 927,827.67

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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.