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Finding the Third Proportional to 247,077 and 369,508.50

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Solution

The third proportional to 247,077 and 369,508.50 is: 552,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,077 : 369,508.50 = 369,508.50 : x
  2. Step 2: Convert to fraction form
    247,077/369,508.50 = 369,508.50/x
  3. Step 3: Cross multiply
    247,077x = 369,508.50 × 369,508.50
  4. Step 4: Simplify right side
    247,077x = 136,536,531,572.25
  5. Step 5: Solve for x
    x = 136,536,531,572.25/247,077
  6. Step 6: Final answer
    x = 552,607.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.