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Finding the Third Proportional to 176,975 and 383,468

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Solution

The third proportional to 176,975 and 383,468 is: 830,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,975 : 383,468 = 383,468 : x
  2. Step 2: Convert to fraction form
    176,975/383,468 = 383,468/x
  3. Step 3: Cross multiply
    176,975x = 383,468 × 383,468
  4. Step 4: Simplify right side
    176,975x = 147,047,707,024
  5. Step 5: Solve for x
    x = 147,047,707,024/176,975
  6. Step 6: Final answer
    x = 830,895.36

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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.