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Finding the Third Proportional to 202,922 and 288,434

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Solution

The third proportional to 202,922 and 288,434 is: 409,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,922 : 288,434 = 288,434 : x
  2. Step 2: Convert to fraction form
    202,922/288,434 = 288,434/x
  3. Step 3: Cross multiply
    202,922x = 288,434 × 288,434
  4. Step 4: Simplify right side
    202,922x = 83,194,172,356
  5. Step 5: Solve for x
    x = 83,194,172,356/202,922
  6. Step 6: Final answer
    x = 409,981.04

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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.