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Finding the Third Proportional to 141,567 and 314,604

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Solution

The third proportional to 141,567 and 314,604 is: 699,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,567 : 314,604 = 314,604 : x
  2. Step 2: Convert to fraction form
    141,567/314,604 = 314,604/x
  3. Step 3: Cross multiply
    141,567x = 314,604 × 314,604
  4. Step 4: Simplify right side
    141,567x = 98,975,676,816
  5. Step 5: Solve for x
    x = 98,975,676,816/141,567
  6. Step 6: Final answer
    x = 699,143.70

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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.