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Finding the Third Proportional to 143,262 and 312,012

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Solution

The third proportional to 143,262 and 312,012 is: 679,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,262 : 312,012 = 312,012 : x
  2. Step 2: Convert to fraction form
    143,262/312,012 = 312,012/x
  3. Step 3: Cross multiply
    143,262x = 312,012 × 312,012
  4. Step 4: Simplify right side
    143,262x = 97,351,488,144
  5. Step 5: Solve for x
    x = 97,351,488,144/143,262
  6. Step 6: Final answer
    x = 679,534.62

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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.