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Finding the Third Proportional to 119,248 and 246,056

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Solution

The third proportional to 119,248 and 246,056 is: 507,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,248 : 246,056 = 246,056 : x
  2. Step 2: Convert to fraction form
    119,248/246,056 = 246,056/x
  3. Step 3: Cross multiply
    119,248x = 246,056 × 246,056
  4. Step 4: Simplify right side
    119,248x = 60,543,555,136
  5. Step 5: Solve for x
    x = 60,543,555,136/119,248
  6. Step 6: Final answer
    x = 507,711.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.