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Finding the Third Proportional to 178,335 and 380,727

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Solution

The third proportional to 178,335 and 380,727 is: 812,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,335 : 380,727 = 380,727 : x
  2. Step 2: Convert to fraction form
    178,335/380,727 = 380,727/x
  3. Step 3: Cross multiply
    178,335x = 380,727 × 380,727
  4. Step 4: Simplify right side
    178,335x = 144,953,048,529
  5. Step 5: Solve for x
    x = 144,953,048,529/178,335
  6. Step 6: Final answer
    x = 812,813.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.