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Finding the Third Proportional to 183,148 and 385,976

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Solution

The third proportional to 183,148 and 385,976 is: 813,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,148 : 385,976 = 385,976 : x
  2. Step 2: Convert to fraction form
    183,148/385,976 = 385,976/x
  3. Step 3: Cross multiply
    183,148x = 385,976 × 385,976
  4. Step 4: Simplify right side
    183,148x = 148,977,472,576
  5. Step 5: Solve for x
    x = 148,977,472,576/183,148
  6. Step 6: Final answer
    x = 813,426.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.