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Finding the Third Proportional to 209,445.75 and 452,100.75

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Solution

The third proportional to 209,445.75 and 452,100.75 is: 975,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,445.75 : 452,100.75 = 452,100.75 : x
  2. Step 2: Convert to fraction form
    209,445.75/452,100.75 = 452,100.75/x
  3. Step 3: Cross multiply
    209,445.75x = 452,100.75 × 452,100.75
  4. Step 4: Simplify right side
    209,445.75x = 204,395,088,150.56
  5. Step 5: Solve for x
    x = 204,395,088,150.56/209,445.75
  6. Step 6: Final answer
    x = 975,885.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.