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Finding the Third Proportional to 202,462 and 314,303

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Solution

The third proportional to 202,462 and 314,303 is: 487,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,462 : 314,303 = 314,303 : x
  2. Step 2: Convert to fraction form
    202,462/314,303 = 314,303/x
  3. Step 3: Cross multiply
    202,462x = 314,303 × 314,303
  4. Step 4: Simplify right side
    202,462x = 98,786,375,809
  5. Step 5: Solve for x
    x = 98,786,375,809/202,462
  6. Step 6: Final answer
    x = 487,925.52

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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.