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Finding the Third Proportional to 201,050 and 442,080

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Solution

The third proportional to 201,050 and 442,080 is: 972,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,050 : 442,080 = 442,080 : x
  2. Step 2: Convert to fraction form
    201,050/442,080 = 442,080/x
  3. Step 3: Cross multiply
    201,050x = 442,080 × 442,080
  4. Step 4: Simplify right side
    201,050x = 195,434,726,400
  5. Step 5: Solve for x
    x = 195,434,726,400/201,050
  6. Step 6: Final answer
    x = 972,070.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.