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Finding the Third Proportional to 185,891.63 and 401,307.75

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Solution

The third proportional to 185,891.63 and 401,307.75 is: 866,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,891.63 : 401,307.75 = 401,307.75 : x
  2. Step 2: Convert to fraction form
    185,891.63/401,307.75 = 401,307.75/x
  3. Step 3: Cross multiply
    185,891.63x = 401,307.75 × 401,307.75
  4. Step 4: Simplify right side
    185,891.63x = 161,047,910,210.06
  5. Step 5: Solve for x
    x = 161,047,910,210.06/185,891.63
  6. Step 6: Final answer
    x = 866,353.77

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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.