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Finding the Third Proportional to 247,114.50 and 542,343

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Solution

The third proportional to 247,114.50 and 542,343 is: 1,190,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,114.50 : 542,343 = 542,343 : x
  2. Step 2: Convert to fraction form
    247,114.50/542,343 = 542,343/x
  3. Step 3: Cross multiply
    247,114.50x = 542,343 × 542,343
  4. Step 4: Simplify right side
    247,114.50x = 294,135,929,649
  5. Step 5: Solve for x
    x = 294,135,929,649/247,114.50
  6. Step 6: Final answer
    x = 1,190,281.95

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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.