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Finding the Third Proportional to 206,368 and 308,602

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Solution

The third proportional to 206,368 and 308,602 is: 461,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,368 : 308,602 = 308,602 : x
  2. Step 2: Convert to fraction form
    206,368/308,602 = 308,602/x
  3. Step 3: Cross multiply
    206,368x = 308,602 × 308,602
  4. Step 4: Simplify right side
    206,368x = 95,235,194,404
  5. Step 5: Solve for x
    x = 95,235,194,404/206,368
  6. Step 6: Final answer
    x = 461,482.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.