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Finding the Third Proportional to 225,267 and 314,937

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Solution

The third proportional to 225,267 and 314,937 is: 440,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,267 : 314,937 = 314,937 : x
  2. Step 2: Convert to fraction form
    225,267/314,937 = 314,937/x
  3. Step 3: Cross multiply
    225,267x = 314,937 × 314,937
  4. Step 4: Simplify right side
    225,267x = 99,185,313,969
  5. Step 5: Solve for x
    x = 99,185,313,969/225,267
  6. Step 6: Final answer
    x = 440,301.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.