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Finding the Third Proportional to 196,893.75 and 429,422.50

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Solution

The third proportional to 196,893.75 and 429,422.50 is: 936,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,893.75 : 429,422.50 = 429,422.50 : x
  2. Step 2: Convert to fraction form
    196,893.75/429,422.50 = 429,422.50/x
  3. Step 3: Cross multiply
    196,893.75x = 429,422.50 × 429,422.50
  4. Step 4: Simplify right side
    196,893.75x = 184,403,683,506.25
  5. Step 5: Solve for x
    x = 184,403,683,506.25/196,893.75
  6. Step 6: Final answer
    x = 936,564.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.