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Finding the Third Proportional to 201,004.03 and 431,145.28

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Solution

The third proportional to 201,004.03 and 431,145.28 is: 924,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,004.03 : 431,145.28 = 431,145.28 : x
  2. Step 2: Convert to fraction form
    201,004.03/431,145.28 = 431,145.28/x
  3. Step 3: Cross multiply
    201,004.03x = 431,145.28 × 431,145.28
  4. Step 4: Simplify right side
    201,004.03x = 185,886,253,544.14
  5. Step 5: Solve for x
    x = 185,886,253,544.14/201,004.03
  6. Step 6: Final answer
    x = 924,788.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.