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Finding the Third Proportional to 183,495.50 and 401,959

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Solution

The third proportional to 183,495.50 and 401,959 is: 880,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,495.50 : 401,959 = 401,959 : x
  2. Step 2: Convert to fraction form
    183,495.50/401,959 = 401,959/x
  3. Step 3: Cross multiply
    183,495.50x = 401,959 × 401,959
  4. Step 4: Simplify right side
    183,495.50x = 161,571,037,681
  5. Step 5: Solve for x
    x = 161,571,037,681/183,495.50
  6. Step 6: Final answer
    x = 880,517.71

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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.