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Finding the Third Proportional to 195,833.81 and 264,225.94

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Solution

The third proportional to 195,833.81 and 264,225.94 is: 356,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,833.81 : 264,225.94 = 264,225.94 : x
  2. Step 2: Convert to fraction form
    195,833.81/264,225.94 = 264,225.94/x
  3. Step 3: Cross multiply
    195,833.81x = 264,225.94 × 264,225.94
  4. Step 4: Simplify right side
    195,833.81x = 69,815,346,047.75
  5. Step 5: Solve for x
    x = 69,815,346,047.75/195,833.81
  6. Step 6: Final answer
    x = 356,503.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.