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Finding the Third Proportional to 175,416.19 and 266,814.84

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Solution

The third proportional to 175,416.19 and 266,814.84 is: 405,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,416.19 : 266,814.84 = 266,814.84 : x
  2. Step 2: Convert to fraction form
    175,416.19/266,814.84 = 266,814.84/x
  3. Step 3: Cross multiply
    175,416.19x = 266,814.84 × 266,814.84
  4. Step 4: Simplify right side
    175,416.19x = 71,190,160,845.34
  5. Step 5: Solve for x
    x = 71,190,160,845.34/175,416.19
  6. Step 6: Final answer
    x = 405,835.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.