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Finding the Third Proportional to 141,588 and 314,643

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Solution

The third proportional to 141,588 and 314,643 is: 699,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,588 : 314,643 = 314,643 : x
  2. Step 2: Convert to fraction form
    141,588/314,643 = 314,643/x
  3. Step 3: Cross multiply
    141,588x = 314,643 × 314,643
  4. Step 4: Simplify right side
    141,588x = 99,000,217,449
  5. Step 5: Solve for x
    x = 99,000,217,449/141,588
  6. Step 6: Final answer
    x = 699,213.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.