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Finding the Third Proportional to 225,271 and 314,943

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Solution

The third proportional to 225,271 and 314,943 is: 440,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,271 : 314,943 = 314,943 : x
  2. Step 2: Convert to fraction form
    225,271/314,943 = 314,943/x
  3. Step 3: Cross multiply
    225,271x = 314,943 × 314,943
  4. Step 4: Simplify right side
    225,271x = 99,189,093,249
  5. Step 5: Solve for x
    x = 99,189,093,249/225,271
  6. Step 6: Final answer
    x = 440,310.09

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Why These Related Problems?

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