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Finding the Third Proportional to 183,068 and 427,700

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Solution

The third proportional to 183,068 and 427,700 is: 999,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,068 : 427,700 = 427,700 : x
  2. Step 2: Convert to fraction form
    183,068/427,700 = 427,700/x
  3. Step 3: Cross multiply
    183,068x = 427,700 × 427,700
  4. Step 4: Simplify right side
    183,068x = 182,927,290,000
  5. Step 5: Solve for x
    x = 182,927,290,000/183,068
  6. Step 6: Final answer
    x = 999,231.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.