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Finding the Third Proportional to 176,690 and 383,080

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Solution

The third proportional to 176,690 and 383,080 is: 830,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,690 : 383,080 = 383,080 : x
  2. Step 2: Convert to fraction form
    176,690/383,080 = 383,080/x
  3. Step 3: Cross multiply
    176,690x = 383,080 × 383,080
  4. Step 4: Simplify right side
    176,690x = 146,750,286,400
  5. Step 5: Solve for x
    x = 146,750,286,400/176,690
  6. Step 6: Final answer
    x = 830,552.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.