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Finding the Third Proportional to 252,096.75 and 542,425.50

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Solution

The third proportional to 252,096.75 and 542,425.50 is: 1,167,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,096.75 : 542,425.50 = 542,425.50 : x
  2. Step 2: Convert to fraction form
    252,096.75/542,425.50 = 542,425.50/x
  3. Step 3: Cross multiply
    252,096.75x = 542,425.50 × 542,425.50
  4. Step 4: Simplify right side
    252,096.75x = 294,225,423,050.25
  5. Step 5: Solve for x
    x = 294,225,423,050.25/252,096.75
  6. Step 6: Final answer
    x = 1,167,113.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.