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Finding the Third Proportional to 107,375 and 228,968

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Solution

The third proportional to 107,375 and 228,968 is: 488,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,375 : 228,968 = 228,968 : x
  2. Step 2: Convert to fraction form
    107,375/228,968 = 228,968/x
  3. Step 3: Cross multiply
    107,375x = 228,968 × 228,968
  4. Step 4: Simplify right side
    107,375x = 52,426,345,024
  5. Step 5: Solve for x
    x = 52,426,345,024/107,375
  6. Step 6: Final answer
    x = 488,254.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.