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Finding the Third Proportional to 241,253.50 and 515,637.25

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Solution

The third proportional to 241,253.50 and 515,637.25 is: 1,102,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,253.50 : 515,637.25 = 515,637.25 : x
  2. Step 2: Convert to fraction form
    241,253.50/515,637.25 = 515,637.25/x
  3. Step 3: Cross multiply
    241,253.50x = 515,637.25 × 515,637.25
  4. Step 4: Simplify right side
    241,253.50x = 265,881,773,587.56
  5. Step 5: Solve for x
    x = 265,881,773,587.56/241,253.50
  6. Step 6: Final answer
    x = 1,102,084.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.