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Finding the Third Proportional to 183,795.75 and 400,291.03

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Solution

The third proportional to 183,795.75 and 400,291.03 is: 871,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,795.75 : 400,291.03 = 400,291.03 : x
  2. Step 2: Convert to fraction form
    183,795.75/400,291.03 = 400,291.03/x
  3. Step 3: Cross multiply
    183,795.75x = 400,291.03 × 400,291.03
  4. Step 4: Simplify right side
    183,795.75x = 160,232,909,699.19
  5. Step 5: Solve for x
    x = 160,232,909,699.19/183,795.75
  6. Step 6: Final answer
    x = 871,798.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.