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Finding the Third Proportional to 114,696 and 269,854.88

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Solution

The third proportional to 114,696 and 269,854.88 is: 634,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,696 : 269,854.88 = 269,854.88 : x
  2. Step 2: Convert to fraction form
    114,696/269,854.88 = 269,854.88/x
  3. Step 3: Cross multiply
    114,696x = 269,854.88 × 269,854.88
  4. Step 4: Simplify right side
    114,696x = 72,821,653,561.27
  5. Step 5: Solve for x
    x = 72,821,653,561.27/114,696
  6. Step 6: Final answer
    x = 634,910.14

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.