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Finding the Third Proportional to 114,189.75 and 245,875.50

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Solution

The third proportional to 114,189.75 and 245,875.50 is: 529,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,189.75 : 245,875.50 = 245,875.50 : x
  2. Step 2: Convert to fraction form
    114,189.75/245,875.50 = 245,875.50/x
  3. Step 3: Cross multiply
    114,189.75x = 245,875.50 × 245,875.50
  4. Step 4: Simplify right side
    114,189.75x = 60,454,761,500.25
  5. Step 5: Solve for x
    x = 60,454,761,500.25/114,189.75
  6. Step 6: Final answer
    x = 529,423.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.