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Finding the Third Proportional to 202,904 and 292,263

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Solution

The third proportional to 202,904 and 292,263 is: 420,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,904 : 292,263 = 292,263 : x
  2. Step 2: Convert to fraction form
    202,904/292,263 = 292,263/x
  3. Step 3: Cross multiply
    202,904x = 292,263 × 292,263
  4. Step 4: Simplify right side
    202,904x = 85,417,661,169
  5. Step 5: Solve for x
    x = 85,417,661,169/202,904
  6. Step 6: Final answer
    x = 420,975.74

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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.