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Finding the Third Proportional to 176,960.25 and 383,438.25

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Solution

The third proportional to 176,960.25 and 383,438.25 is: 830,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,960.25 : 383,438.25 = 383,438.25 : x
  2. Step 2: Convert to fraction form
    176,960.25/383,438.25 = 383,438.25/x
  3. Step 3: Cross multiply
    176,960.25x = 383,438.25 × 383,438.25
  4. Step 4: Simplify right side
    176,960.25x = 147,024,891,563.06
  5. Step 5: Solve for x
    x = 147,024,891,563.06/176,960.25
  6. Step 6: Final answer
    x = 830,835.69

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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.