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Finding the Third Proportional to 242,853.19 and 515,301.75

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Solution

The third proportional to 242,853.19 and 515,301.75 is: 1,093,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,853.19 : 515,301.75 = 515,301.75 : x
  2. Step 2: Convert to fraction form
    242,853.19/515,301.75 = 515,301.75/x
  3. Step 3: Cross multiply
    242,853.19x = 515,301.75 × 515,301.75
  4. Step 4: Simplify right side
    242,853.19x = 265,535,893,553.06
  5. Step 5: Solve for x
    x = 265,535,893,553.06/242,853.19
  6. Step 6: Final answer
    x = 1,093,400.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.