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Finding the Third Proportional to 208,346 and 295,000

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Solution

The third proportional to 208,346 and 295,000 is: 417,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,346 : 295,000 = 295,000 : x
  2. Step 2: Convert to fraction form
    208,346/295,000 = 295,000/x
  3. Step 3: Cross multiply
    208,346x = 295,000 × 295,000
  4. Step 4: Simplify right side
    208,346x = 87,025,000,000
  5. Step 5: Solve for x
    x = 87,025,000,000/208,346
  6. Step 6: Final answer
    x = 417,694.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.