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Finding the Third Proportional to 109,469.60 and 235,307.53

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Solution

The third proportional to 109,469.60 and 235,307.53 is: 505,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,469.60 : 235,307.53 = 235,307.53 : x
  2. Step 2: Convert to fraction form
    109,469.60/235,307.53 = 235,307.53/x
  3. Step 3: Cross multiply
    109,469.60x = 235,307.53 × 235,307.53
  4. Step 4: Simplify right side
    109,469.60x = 55,369,634,262.97
  5. Step 5: Solve for x
    x = 55,369,634,262.97/109,469.60
  6. Step 6: Final answer
    x = 505,799.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.