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Finding the Third Proportional to 247,574 and 373,729.50

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Solution

The third proportional to 247,574 and 373,729.50 is: 564,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,574 : 373,729.50 = 373,729.50 : x
  2. Step 2: Convert to fraction form
    247,574/373,729.50 = 373,729.50/x
  3. Step 3: Cross multiply
    247,574x = 373,729.50 × 373,729.50
  4. Step 4: Simplify right side
    247,574x = 139,673,739,170.25
  5. Step 5: Solve for x
    x = 139,673,739,170.25/247,574
  6. Step 6: Final answer
    x = 564,169.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.