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Finding the Third Proportional to 201,409.03 and 435,349.69

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Solution

The third proportional to 201,409.03 and 435,349.69 is: 941,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,409.03 : 435,349.69 = 435,349.69 : x
  2. Step 2: Convert to fraction form
    201,409.03/435,349.69 = 435,349.69/x
  3. Step 3: Cross multiply
    201,409.03x = 435,349.69 × 435,349.69
  4. Step 4: Simplify right side
    201,409.03x = 189,529,350,406.35
  5. Step 5: Solve for x
    x = 189,529,350,406.35/201,409.03
  6. Step 6: Final answer
    x = 941,017.14

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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.