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Finding the Third Proportional to 156,362 and 304,948

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Solution

The third proportional to 156,362 and 304,948 is: 594,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,362 : 304,948 = 304,948 : x
  2. Step 2: Convert to fraction form
    156,362/304,948 = 304,948/x
  3. Step 3: Cross multiply
    156,362x = 304,948 × 304,948
  4. Step 4: Simplify right side
    156,362x = 92,993,282,704
  5. Step 5: Solve for x
    x = 92,993,282,704/156,362
  6. Step 6: Final answer
    x = 594,730.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.