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Finding the Third Proportional to 181,784.50 and 380,273

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Solution

The third proportional to 181,784.50 and 380,273 is: 795,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,784.50 : 380,273 = 380,273 : x
  2. Step 2: Convert to fraction form
    181,784.50/380,273 = 380,273/x
  3. Step 3: Cross multiply
    181,784.50x = 380,273 × 380,273
  4. Step 4: Simplify right side
    181,784.50x = 144,607,554,529
  5. Step 5: Solve for x
    x = 144,607,554,529/181,784.50
  6. Step 6: Final answer
    x = 795,488.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.