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Finding the Third Proportional to 184,752 and 394,776

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Solution

The third proportional to 184,752 and 394,776 is: 843,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,752 : 394,776 = 394,776 : x
  2. Step 2: Convert to fraction form
    184,752/394,776 = 394,776/x
  3. Step 3: Cross multiply
    184,752x = 394,776 × 394,776
  4. Step 4: Simplify right side
    184,752x = 155,848,090,176
  5. Step 5: Solve for x
    x = 155,848,090,176/184,752
  6. Step 6: Final answer
    x = 843,552.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.