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Finding the Third Proportional to 197,817 and 314,505

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Solution

The third proportional to 197,817 and 314,505 is: 500,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,817 : 314,505 = 314,505 : x
  2. Step 2: Convert to fraction form
    197,817/314,505 = 314,505/x
  3. Step 3: Cross multiply
    197,817x = 314,505 × 314,505
  4. Step 4: Simplify right side
    197,817x = 98,913,395,025
  5. Step 5: Solve for x
    x = 98,913,395,025/197,817
  6. Step 6: Final answer
    x = 500,024.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.