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Finding the Third Proportional to 220,110 and 314,829

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Solution

The third proportional to 220,110 and 314,829 is: 450,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,110 : 314,829 = 314,829 : x
  2. Step 2: Convert to fraction form
    220,110/314,829 = 314,829/x
  3. Step 3: Cross multiply
    220,110x = 314,829 × 314,829
  4. Step 4: Simplify right side
    220,110x = 99,117,299,241
  5. Step 5: Solve for x
    x = 99,117,299,241/220,110
  6. Step 6: Final answer
    x = 450,308.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.