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Finding the Third Proportional to 176,053.50 and 384,363

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Solution

The third proportional to 176,053.50 and 384,363 is: 839,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,053.50 : 384,363 = 384,363 : x
  2. Step 2: Convert to fraction form
    176,053.50/384,363 = 384,363/x
  3. Step 3: Cross multiply
    176,053.50x = 384,363 × 384,363
  4. Step 4: Simplify right side
    176,053.50x = 147,734,915,769
  5. Step 5: Solve for x
    x = 147,734,915,769/176,053.50
  6. Step 6: Final answer
    x = 839,147.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.