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Finding the Third Proportional to 243,965.25 and 380,703.38

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Solution

The third proportional to 243,965.25 and 380,703.38 is: 594,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,965.25 : 380,703.38 = 380,703.38 : x
  2. Step 2: Convert to fraction form
    243,965.25/380,703.38 = 380,703.38/x
  3. Step 3: Cross multiply
    243,965.25x = 380,703.38 × 380,703.38
  4. Step 4: Simplify right side
    243,965.25x = 144,935,059,736.39
  5. Step 5: Solve for x
    x = 144,935,059,736.39/243,965.25
  6. Step 6: Final answer
    x = 594,080.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.