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Finding the Third Proportional to 143,478 and 314,970

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Solution

The third proportional to 143,478 and 314,970 is: 691,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,478 : 314,970 = 314,970 : x
  2. Step 2: Convert to fraction form
    143,478/314,970 = 314,970/x
  3. Step 3: Cross multiply
    143,478x = 314,970 × 314,970
  4. Step 4: Simplify right side
    143,478x = 99,206,100,900
  5. Step 5: Solve for x
    x = 99,206,100,900/143,478
  6. Step 6: Final answer
    x = 691,437.72

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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.