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Finding the Third Proportional to 176,394 and 264,988

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Solution

The third proportional to 176,394 and 264,988 is: 398,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,394 : 264,988 = 264,988 : x
  2. Step 2: Convert to fraction form
    176,394/264,988 = 264,988/x
  3. Step 3: Cross multiply
    176,394x = 264,988 × 264,988
  4. Step 4: Simplify right side
    176,394x = 70,218,640,144
  5. Step 5: Solve for x
    x = 70,218,640,144/176,394
  6. Step 6: Final answer
    x = 398,078.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.