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Finding the Third Proportional to 202,704 and 314,640

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Solution

The third proportional to 202,704 and 314,640 is: 488,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,704 : 314,640 = 314,640 : x
  2. Step 2: Convert to fraction form
    202,704/314,640 = 314,640/x
  3. Step 3: Cross multiply
    202,704x = 314,640 × 314,640
  4. Step 4: Simplify right side
    202,704x = 98,998,329,600
  5. Step 5: Solve for x
    x = 98,998,329,600/202,704
  6. Step 6: Final answer
    x = 488,388.63

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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.