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Finding the Third Proportional to 127,381.50 and 297,490.50

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Solution

The third proportional to 127,381.50 and 297,490.50 is: 694,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,381.50 : 297,490.50 = 297,490.50 : x
  2. Step 2: Convert to fraction form
    127,381.50/297,490.50 = 297,490.50/x
  3. Step 3: Cross multiply
    127,381.50x = 297,490.50 × 297,490.50
  4. Step 4: Simplify right side
    127,381.50x = 88,500,597,590.25
  5. Step 5: Solve for x
    x = 88,500,597,590.25/127,381.50
  6. Step 6: Final answer
    x = 694,768.06

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.