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Finding the Third Proportional to 143,288 and 311,952

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Solution

The third proportional to 143,288 and 311,952 is: 679,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,288 : 311,952 = 311,952 : x
  2. Step 2: Convert to fraction form
    143,288/311,952 = 311,952/x
  3. Step 3: Cross multiply
    143,288x = 311,952 × 311,952
  4. Step 4: Simplify right side
    143,288x = 97,314,050,304
  5. Step 5: Solve for x
    x = 97,314,050,304/143,288
  6. Step 6: Final answer
    x = 679,150.04

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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.