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Finding the Third Proportional to 176,296.50 and 380,646

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Solution

The third proportional to 176,296.50 and 380,646 is: 821,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,296.50 : 380,646 = 380,646 : x
  2. Step 2: Convert to fraction form
    176,296.50/380,646 = 380,646/x
  3. Step 3: Cross multiply
    176,296.50x = 380,646 × 380,646
  4. Step 4: Simplify right side
    176,296.50x = 144,891,377,316
  5. Step 5: Solve for x
    x = 144,891,377,316/176,296.50
  6. Step 6: Final answer
    x = 821,861.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.