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Finding the Third Proportional to 169,404 and 247,747.50

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Solution

The third proportional to 169,404 and 247,747.50 is: 362,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,404 : 247,747.50 = 247,747.50 : x
  2. Step 2: Convert to fraction form
    169,404/247,747.50 = 247,747.50/x
  3. Step 3: Cross multiply
    169,404x = 247,747.50 × 247,747.50
  4. Step 4: Simplify right side
    169,404x = 61,378,823,756.25
  5. Step 5: Solve for x
    x = 61,378,823,756.25/169,404
  6. Step 6: Final answer
    x = 362,322.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.