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Finding the Third Proportional to 146,415 and 319,683

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Solution

The third proportional to 146,415 and 319,683 is: 697,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,415 : 319,683 = 319,683 : x
  2. Step 2: Convert to fraction form
    146,415/319,683 = 319,683/x
  3. Step 3: Cross multiply
    146,415x = 319,683 × 319,683
  4. Step 4: Simplify right side
    146,415x = 102,197,220,489
  5. Step 5: Solve for x
    x = 102,197,220,489/146,415
  6. Step 6: Final answer
    x = 697,996.93

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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.