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Finding the Third Proportional to 114,880.50 and 252,117

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Solution

The third proportional to 114,880.50 and 252,117 is: 553,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,880.50 : 252,117 = 252,117 : x
  2. Step 2: Convert to fraction form
    114,880.50/252,117 = 252,117/x
  3. Step 3: Cross multiply
    114,880.50x = 252,117 × 252,117
  4. Step 4: Simplify right side
    114,880.50x = 63,562,981,689
  5. Step 5: Solve for x
    x = 63,562,981,689/114,880.50
  6. Step 6: Final answer
    x = 553,296.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.