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Finding the Third Proportional to 247,111.13 and 542,336.25

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Solution

The third proportional to 247,111.13 and 542,336.25 is: 1,190,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,111.13 : 542,336.25 = 542,336.25 : x
  2. Step 2: Convert to fraction form
    247,111.13/542,336.25 = 542,336.25/x
  3. Step 3: Cross multiply
    247,111.13x = 542,336.25 × 542,336.25
  4. Step 4: Simplify right side
    247,111.13x = 294,128,608,064.06
  5. Step 5: Solve for x
    x = 294,128,608,064.06/247,111.13
  6. Step 6: Final answer
    x = 1,190,268.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.