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Finding the Third Proportional to 176,047.17 and 366,985.69

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Solution

The third proportional to 176,047.17 and 366,985.69 is: 765,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,047.17 : 366,985.69 = 366,985.69 : x
  2. Step 2: Convert to fraction form
    176,047.17/366,985.69 = 366,985.69/x
  3. Step 3: Cross multiply
    176,047.17x = 366,985.69 × 366,985.69
  4. Step 4: Simplify right side
    176,047.17x = 134,678,494,829.85
  5. Step 5: Solve for x
    x = 134,678,494,829.85/176,047.17
  6. Step 6: Final answer
    x = 765,013.68

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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.