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Finding the Third Proportional to 202,309 and 314,330

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Solution

The third proportional to 202,309 and 314,330 is: 488,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,309 : 314,330 = 314,330 : x
  2. Step 2: Convert to fraction form
    202,309/314,330 = 314,330/x
  3. Step 3: Cross multiply
    202,309x = 314,330 × 314,330
  4. Step 4: Simplify right side
    202,309x = 98,803,348,900
  5. Step 5: Solve for x
    x = 98,803,348,900/202,309
  6. Step 6: Final answer
    x = 488,378.42

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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.