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Finding the Third Proportional to 202,164 and 313,904

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Solution

The third proportional to 202,164 and 313,904 is: 487,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,164 : 313,904 = 313,904 : x
  2. Step 2: Convert to fraction form
    202,164/313,904 = 313,904/x
  3. Step 3: Cross multiply
    202,164x = 313,904 × 313,904
  4. Step 4: Simplify right side
    202,164x = 98,535,721,216
  5. Step 5: Solve for x
    x = 98,535,721,216/202,164
  6. Step 6: Final answer
    x = 487,404.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.