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Finding the Third Proportional to 144,769 and 322,748

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Solution

The third proportional to 144,769 and 322,748 is: 719,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,769 : 322,748 = 322,748 : x
  2. Step 2: Convert to fraction form
    144,769/322,748 = 322,748/x
  3. Step 3: Cross multiply
    144,769x = 322,748 × 322,748
  4. Step 4: Simplify right side
    144,769x = 104,166,271,504
  5. Step 5: Solve for x
    x = 104,166,271,504/144,769
  6. Step 6: Final answer
    x = 719,534.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.