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Finding the Third Proportional to 176,078.25 and 366,748.50

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Solution

The third proportional to 176,078.25 and 366,748.50 is: 763,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,078.25 : 366,748.50 = 366,748.50 : x
  2. Step 2: Convert to fraction form
    176,078.25/366,748.50 = 366,748.50/x
  3. Step 3: Cross multiply
    176,078.25x = 366,748.50 × 366,748.50
  4. Step 4: Simplify right side
    176,078.25x = 134,504,462,252.25
  5. Step 5: Solve for x
    x = 134,504,462,252.25/176,078.25
  6. Step 6: Final answer
    x = 763,890.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.