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Finding the Third Proportional to 114,700.50 and 269,865

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Solution

The third proportional to 114,700.50 and 269,865 is: 634,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,700.50 : 269,865 = 269,865 : x
  2. Step 2: Convert to fraction form
    114,700.50/269,865 = 269,865/x
  3. Step 3: Cross multiply
    114,700.50x = 269,865 × 269,865
  4. Step 4: Simplify right side
    114,700.50x = 72,827,118,225
  5. Step 5: Solve for x
    x = 72,827,118,225/114,700.50
  6. Step 6: Final answer
    x = 634,932.87

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.