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Finding the Third Proportional to 202,364 and 292,357

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Solution

The third proportional to 202,364 and 292,357 is: 422,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,364 : 292,357 = 292,357 : x
  2. Step 2: Convert to fraction form
    202,364/292,357 = 292,357/x
  3. Step 3: Cross multiply
    202,364x = 292,357 × 292,357
  4. Step 4: Simplify right side
    202,364x = 85,472,615,449
  5. Step 5: Solve for x
    x = 85,472,615,449/202,364
  6. Step 6: Final answer
    x = 422,370.66

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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.