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Finding the Third Proportional to 244,143 and 534,836.25

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Solution

The third proportional to 244,143 and 534,836.25 is: 1,171,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,143 : 534,836.25 = 534,836.25 : x
  2. Step 2: Convert to fraction form
    244,143/534,836.25 = 534,836.25/x
  3. Step 3: Cross multiply
    244,143x = 534,836.25 × 534,836.25
  4. Step 4: Simplify right side
    244,143x = 286,049,814,314.06
  5. Step 5: Solve for x
    x = 286,049,814,314.06/244,143
  6. Step 6: Final answer
    x = 1,171,648.64

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Why These Related Problems?

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