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Finding the Third Proportional to 202,275 and 291,370.50

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Solution

The third proportional to 202,275 and 291,370.50 is: 419,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,275 : 291,370.50 = 291,370.50 : x
  2. Step 2: Convert to fraction form
    202,275/291,370.50 = 291,370.50/x
  3. Step 3: Cross multiply
    202,275x = 291,370.50 × 291,370.50
  4. Step 4: Simplify right side
    202,275x = 84,896,768,270.25
  5. Step 5: Solve for x
    x = 84,896,768,270.25/202,275
  6. Step 6: Final answer
    x = 419,709.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.