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Finding the Third Proportional to 193,087.13 and 301,390.88

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Solution

The third proportional to 193,087.13 and 301,390.88 is: 470,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,087.13 : 301,390.88 = 301,390.88 : x
  2. Step 2: Convert to fraction form
    193,087.13/301,390.88 = 301,390.88/x
  3. Step 3: Cross multiply
    193,087.13x = 301,390.88 × 301,390.88
  4. Step 4: Simplify right side
    193,087.13x = 90,836,459,533.27
  5. Step 5: Solve for x
    x = 90,836,459,533.27/193,087.13
  6. Step 6: Final answer
    x = 470,442.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.