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Finding the Third Proportional to 144,872 and 320,840

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Solution

The third proportional to 144,872 and 320,840 is: 710,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,872 : 320,840 = 320,840 : x
  2. Step 2: Convert to fraction form
    144,872/320,840 = 320,840/x
  3. Step 3: Cross multiply
    144,872x = 320,840 × 320,840
  4. Step 4: Simplify right side
    144,872x = 102,938,305,600
  5. Step 5: Solve for x
    x = 102,938,305,600/144,872
  6. Step 6: Final answer
    x = 710,546.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.