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Finding the Third Proportional to 144,982.13 and 319,397.63

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Solution

The third proportional to 144,982.13 and 319,397.63 is: 703,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,982.13 : 319,397.63 = 319,397.63 : x
  2. Step 2: Convert to fraction form
    144,982.13/319,397.63 = 319,397.63/x
  3. Step 3: Cross multiply
    144,982.13x = 319,397.63 × 319,397.63
  4. Step 4: Simplify right side
    144,982.13x = 102,014,842,855.64
  5. Step 5: Solve for x
    x = 102,014,842,855.64/144,982.13
  6. Step 6: Final answer
    x = 703,637.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.