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Finding the Third Proportional to 224,688 and 350,856

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Solution

The third proportional to 224,688 and 350,856 is: 547,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,688 : 350,856 = 350,856 : x
  2. Step 2: Convert to fraction form
    224,688/350,856 = 350,856/x
  3. Step 3: Cross multiply
    224,688x = 350,856 × 350,856
  4. Step 4: Simplify right side
    224,688x = 123,099,932,736
  5. Step 5: Solve for x
    x = 123,099,932,736/224,688
  6. Step 6: Final answer
    x = 547,870.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.