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Finding the Third Proportional to 127,950 and 297,445

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Solution

The third proportional to 127,950 and 297,445 is: 691,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,950 : 297,445 = 297,445 : x
  2. Step 2: Convert to fraction form
    127,950/297,445 = 297,445/x
  3. Step 3: Cross multiply
    127,950x = 297,445 × 297,445
  4. Step 4: Simplify right side
    127,950x = 88,473,528,025
  5. Step 5: Solve for x
    x = 88,473,528,025/127,950
  6. Step 6: Final answer
    x = 691,469.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.