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Finding the Third Proportional to 209,090.11 and 332,325.28

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Solution

The third proportional to 209,090.11 and 332,325.28 is: 528,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,090.11 : 332,325.28 = 332,325.28 : x
  2. Step 2: Convert to fraction form
    209,090.11/332,325.28 = 332,325.28/x
  3. Step 3: Cross multiply
    209,090.11x = 332,325.28 × 332,325.28
  4. Step 4: Simplify right side
    209,090.11x = 110,440,092,557.89
  5. Step 5: Solve for x
    x = 110,440,092,557.89/209,090.11
  6. Step 6: Final answer
    x = 528,193.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.