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Finding the Third Proportional to 114,308 and 250,756

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Solution

The third proportional to 114,308 and 250,756 is: 550,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,308 : 250,756 = 250,756 : x
  2. Step 2: Convert to fraction form
    114,308/250,756 = 250,756/x
  3. Step 3: Cross multiply
    114,308x = 250,756 × 250,756
  4. Step 4: Simplify right side
    114,308x = 62,878,571,536
  5. Step 5: Solve for x
    x = 62,878,571,536/114,308
  6. Step 6: Final answer
    x = 550,080.24

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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.