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Finding the Third Proportional to 166,628 and 357,880

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Solution

The third proportional to 166,628 and 357,880 is: 768,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,628 : 357,880 = 357,880 : x
  2. Step 2: Convert to fraction form
    166,628/357,880 = 357,880/x
  3. Step 3: Cross multiply
    166,628x = 357,880 × 357,880
  4. Step 4: Simplify right side
    166,628x = 128,078,094,400
  5. Step 5: Solve for x
    x = 128,078,094,400/166,628
  6. Step 6: Final answer
    x = 768,646.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.