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Finding the Third Proportional to 145,976 and 315,940

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Solution

The third proportional to 145,976 and 315,940 is: 683,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,976 : 315,940 = 315,940 : x
  2. Step 2: Convert to fraction form
    145,976/315,940 = 315,940/x
  3. Step 3: Cross multiply
    145,976x = 315,940 × 315,940
  4. Step 4: Simplify right side
    145,976x = 99,818,083,600
  5. Step 5: Solve for x
    x = 99,818,083,600/145,976
  6. Step 6: Final answer
    x = 683,797.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.