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Finding the Third Proportional to 196,283.25 and 429,950.53

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Solution

The third proportional to 196,283.25 and 429,950.53 is: 941,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,283.25 : 429,950.53 = 429,950.53 : x
  2. Step 2: Convert to fraction form
    196,283.25/429,950.53 = 429,950.53/x
  3. Step 3: Cross multiply
    196,283.25x = 429,950.53 × 429,950.53
  4. Step 4: Simplify right side
    196,283.25x = 184,857,459,322.16
  5. Step 5: Solve for x
    x = 184,857,459,322.16/196,283.25
  6. Step 6: Final answer
    x = 941,789.27

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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.