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Finding the Third Proportional to 203,050 and 298,688

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Solution

The third proportional to 203,050 and 298,688 is: 439,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,050 : 298,688 = 298,688 : x
  2. Step 2: Convert to fraction form
    203,050/298,688 = 298,688/x
  3. Step 3: Cross multiply
    203,050x = 298,688 × 298,688
  4. Step 4: Simplify right side
    203,050x = 89,214,521,344
  5. Step 5: Solve for x
    x = 89,214,521,344/203,050
  6. Step 6: Final answer
    x = 439,372.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.