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Finding the Third Proportional to 202,214 and 291,294

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Solution

The third proportional to 202,214 and 291,294 is: 419,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214 : 291,294 = 291,294 : x
  2. Step 2: Convert to fraction form
    202,214/291,294 = 291,294/x
  3. Step 3: Cross multiply
    202,214x = 291,294 × 291,294
  4. Step 4: Simplify right side
    202,214x = 84,852,194,436
  5. Step 5: Solve for x
    x = 84,852,194,436/202,214
  6. Step 6: Final answer
    x = 419,615.82

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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.