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Finding the Third Proportional to 116,007.75 and 245,742.75

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Solution

The third proportional to 116,007.75 and 245,742.75 is: 520,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,007.75 : 245,742.75 = 245,742.75 : x
  2. Step 2: Convert to fraction form
    116,007.75/245,742.75 = 245,742.75/x
  3. Step 3: Cross multiply
    116,007.75x = 245,742.75 × 245,742.75
  4. Step 4: Simplify right side
    116,007.75x = 60,389,499,177.56
  5. Step 5: Solve for x
    x = 60,389,499,177.56/116,007.75
  6. Step 6: Final answer
    x = 520,564.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.