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Finding the Third Proportional to 110,655.28 and 237,087.84

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Solution

The third proportional to 110,655.28 and 237,087.84 is: 507,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,655.28 : 237,087.84 = 237,087.84 : x
  2. Step 2: Convert to fraction form
    110,655.28/237,087.84 = 237,087.84/x
  3. Step 3: Cross multiply
    110,655.28x = 237,087.84 × 237,087.84
  4. Step 4: Simplify right side
    110,655.28x = 56,210,645,654.02
  5. Step 5: Solve for x
    x = 56,210,645,654.02/110,655.28
  6. Step 6: Final answer
    x = 507,979.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.