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Finding the Third Proportional to 274,188 and 373,534

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Solution

The third proportional to 274,188 and 373,534 is: 508,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,188 : 373,534 = 373,534 : x
  2. Step 2: Convert to fraction form
    274,188/373,534 = 373,534/x
  3. Step 3: Cross multiply
    274,188x = 373,534 × 373,534
  4. Step 4: Simplify right side
    274,188x = 139,527,649,156
  5. Step 5: Solve for x
    x = 139,527,649,156/274,188
  6. Step 6: Final answer
    x = 508,875.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.