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Finding the Third Proportional to 202,844.25 and 288,319.50

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Solution

The third proportional to 202,844.25 and 288,319.50 is: 409,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,844.25 : 288,319.50 = 288,319.50 : x
  2. Step 2: Convert to fraction form
    202,844.25/288,319.50 = 288,319.50/x
  3. Step 3: Cross multiply
    202,844.25x = 288,319.50 × 288,319.50
  4. Step 4: Simplify right side
    202,844.25x = 83,128,134,080.25
  5. Step 5: Solve for x
    x = 83,128,134,080.25/202,844.25
  6. Step 6: Final answer
    x = 409,812.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.