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Finding the Third Proportional to 203,322 and 314,544

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Solution

The third proportional to 203,322 and 314,544 is: 486,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,322 : 314,544 = 314,544 : x
  2. Step 2: Convert to fraction form
    203,322/314,544 = 314,544/x
  3. Step 3: Cross multiply
    203,322x = 314,544 × 314,544
  4. Step 4: Simplify right side
    203,322x = 98,937,927,936
  5. Step 5: Solve for x
    x = 98,937,927,936/203,322
  6. Step 6: Final answer
    x = 486,607.10

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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.