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Finding the Third Proportional to 183,486.50 and 401,941

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Solution

The third proportional to 183,486.50 and 401,941 is: 880,482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,486.50 : 401,941 = 401,941 : x
  2. Step 2: Convert to fraction form
    183,486.50/401,941 = 401,941/x
  3. Step 3: Cross multiply
    183,486.50x = 401,941 × 401,941
  4. Step 4: Simplify right side
    183,486.50x = 161,556,567,481
  5. Step 5: Solve for x
    x = 161,556,567,481/183,486.50
  6. Step 6: Final answer
    x = 880,482.04

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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.