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Finding the Third Proportional to 176,000 and 233,378

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Solution

The third proportional to 176,000 and 233,378 is: 309,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,000 : 233,378 = 233,378 : x
  2. Step 2: Convert to fraction form
    176,000/233,378 = 233,378/x
  3. Step 3: Cross multiply
    176,000x = 233,378 × 233,378
  4. Step 4: Simplify right side
    176,000x = 54,465,290,884
  5. Step 5: Solve for x
    x = 54,465,290,884/176,000
  6. Step 6: Final answer
    x = 309,461.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.