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Finding the Third Proportional to 183,160 and 386,000

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Solution

The third proportional to 183,160 and 386,000 is: 813,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,160 : 386,000 = 386,000 : x
  2. Step 2: Convert to fraction form
    183,160/386,000 = 386,000/x
  3. Step 3: Cross multiply
    183,160x = 386,000 × 386,000
  4. Step 4: Simplify right side
    183,160x = 148,996,000,000
  5. Step 5: Solve for x
    x = 148,996,000,000/183,160
  6. Step 6: Final answer
    x = 813,474.56

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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.