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Finding the Third Proportional to 143,976 and 316,584

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Solution

The third proportional to 143,976 and 316,584 is: 696,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,976 : 316,584 = 316,584 : x
  2. Step 2: Convert to fraction form
    143,976/316,584 = 316,584/x
  3. Step 3: Cross multiply
    143,976x = 316,584 × 316,584
  4. Step 4: Simplify right side
    143,976x = 100,225,429,056
  5. Step 5: Solve for x
    x = 100,225,429,056/143,976
  6. Step 6: Final answer
    x = 696,125.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.