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Finding the Third Proportional to 237,016.13 and 512,122.50

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Solution

The third proportional to 237,016.13 and 512,122.50 is: 1,106,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,016.13 : 512,122.50 = 512,122.50 : x
  2. Step 2: Convert to fraction form
    237,016.13/512,122.50 = 512,122.50/x
  3. Step 3: Cross multiply
    237,016.13x = 512,122.50 × 512,122.50
  4. Step 4: Simplify right side
    237,016.13x = 262,269,455,006.25
  5. Step 5: Solve for x
    x = 262,269,455,006.25/237,016.13
  6. Step 6: Final answer
    x = 1,106,546.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.