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Finding the Third Proportional to 114,459.75 and 239,374.50

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Solution

The third proportional to 114,459.75 and 239,374.50 is: 500,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,459.75 : 239,374.50 = 239,374.50 : x
  2. Step 2: Convert to fraction form
    114,459.75/239,374.50 = 239,374.50/x
  3. Step 3: Cross multiply
    114,459.75x = 239,374.50 × 239,374.50
  4. Step 4: Simplify right side
    114,459.75x = 57,300,151,250.25
  5. Step 5: Solve for x
    x = 57,300,151,250.25/114,459.75
  6. Step 6: Final answer
    x = 500,613.98

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.