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Finding the Third Proportional to 143,490 and 312,815.25

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Solution

The third proportional to 143,490 and 312,815.25 is: 681,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,490 : 312,815.25 = 312,815.25 : x
  2. Step 2: Convert to fraction form
    143,490/312,815.25 = 312,815.25/x
  3. Step 3: Cross multiply
    143,490x = 312,815.25 × 312,815.25
  4. Step 4: Simplify right side
    143,490x = 97,853,380,632.56
  5. Step 5: Solve for x
    x = 97,853,380,632.56/143,490
  6. Step 6: Final answer
    x = 681,952.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.