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Finding the Third Proportional to 183,110.63 and 401,132.25

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Solution

The third proportional to 183,110.63 and 401,132.25 is: 878,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,110.63 : 401,132.25 = 401,132.25 : x
  2. Step 2: Convert to fraction form
    183,110.63/401,132.25 = 401,132.25/x
  3. Step 3: Cross multiply
    183,110.63x = 401,132.25 × 401,132.25
  4. Step 4: Simplify right side
    183,110.63x = 160,907,081,990.06
  5. Step 5: Solve for x
    x = 160,907,081,990.06/183,110.63
  6. Step 6: Final answer
    x = 878,742.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.