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Finding the Third Proportional to 111,655.13 and 232,331.63

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Solution

The third proportional to 111,655.13 and 232,331.63 is: 483,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,655.13 : 232,331.63 = 232,331.63 : x
  2. Step 2: Convert to fraction form
    111,655.13/232,331.63 = 232,331.63/x
  3. Step 3: Cross multiply
    111,655.13x = 232,331.63 × 232,331.63
  4. Step 4: Simplify right side
    111,655.13x = 53,977,983,975.14
  5. Step 5: Solve for x
    x = 53,977,983,975.14/111,655.13
  6. Step 6: Final answer
    x = 483,434.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.