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Finding the Third Proportional to 146,776 and 320,240

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Solution

The third proportional to 146,776 and 320,240 is: 698,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,776 : 320,240 = 320,240 : x
  2. Step 2: Convert to fraction form
    146,776/320,240 = 320,240/x
  3. Step 3: Cross multiply
    146,776x = 320,240 × 320,240
  4. Step 4: Simplify right side
    146,776x = 102,553,657,600
  5. Step 5: Solve for x
    x = 102,553,657,600/146,776
  6. Step 6: Final answer
    x = 698,708.63

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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.