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Finding the Third Proportional to 114,426 and 250,661.25

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Solution

The third proportional to 114,426 and 250,661.25 is: 549,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,426 : 250,661.25 = 250,661.25 : x
  2. Step 2: Convert to fraction form
    114,426/250,661.25 = 250,661.25/x
  3. Step 3: Cross multiply
    114,426x = 250,661.25 × 250,661.25
  4. Step 4: Simplify right side
    114,426x = 62,831,062,251.56
  5. Step 5: Solve for x
    x = 62,831,062,251.56/114,426
  6. Step 6: Final answer
    x = 549,097.78

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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.