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Finding the Third Proportional to 202,148 and 313,882

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Solution

The third proportional to 202,148 and 313,882 is: 487,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,148 : 313,882 = 313,882 : x
  2. Step 2: Convert to fraction form
    202,148/313,882 = 313,882/x
  3. Step 3: Cross multiply
    202,148x = 313,882 × 313,882
  4. Step 4: Simplify right side
    202,148x = 98,521,909,924
  5. Step 5: Solve for x
    x = 98,521,909,924/202,148
  6. Step 6: Final answer
    x = 487,375.14

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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.