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Finding the Third Proportional to 225,283 and 314,960

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Solution

The third proportional to 225,283 and 314,960 is: 440,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,283 : 314,960 = 314,960 : x
  2. Step 2: Convert to fraction form
    225,283/314,960 = 314,960/x
  3. Step 3: Cross multiply
    225,283x = 314,960 × 314,960
  4. Step 4: Simplify right side
    225,283x = 99,199,801,600
  5. Step 5: Solve for x
    x = 99,199,801,600/225,283
  6. Step 6: Final answer
    x = 440,334.16

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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.