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Finding the Third Proportional to 168,880 and 227,352

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Solution

The third proportional to 168,880 and 227,352 is: 306,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,880 : 227,352 = 227,352 : x
  2. Step 2: Convert to fraction form
    168,880/227,352 = 227,352/x
  3. Step 3: Cross multiply
    168,880x = 227,352 × 227,352
  4. Step 4: Simplify right side
    168,880x = 51,688,931,904
  5. Step 5: Solve for x
    x = 51,688,931,904/168,880
  6. Step 6: Final answer
    x = 306,069.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.