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Finding the Third Proportional to 107,202 and 241,720.50

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Solution

The third proportional to 107,202 and 241,720.50 is: 545,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,202 : 241,720.50 = 241,720.50 : x
  2. Step 2: Convert to fraction form
    107,202/241,720.50 = 241,720.50/x
  3. Step 3: Cross multiply
    107,202x = 241,720.50 × 241,720.50
  4. Step 4: Simplify right side
    107,202x = 58,428,800,120.25
  5. Step 5: Solve for x
    x = 58,428,800,120.25/107,202
  6. Step 6: Final answer
    x = 545,034.61

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.