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Finding the Third Proportional to 184,430 and 402,373

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Solution

The third proportional to 184,430 and 402,373 is: 877,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,430 : 402,373 = 402,373 : x
  2. Step 2: Convert to fraction form
    184,430/402,373 = 402,373/x
  3. Step 3: Cross multiply
    184,430x = 402,373 × 402,373
  4. Step 4: Simplify right side
    184,430x = 161,904,031,129
  5. Step 5: Solve for x
    x = 161,904,031,129/184,430
  6. Step 6: Final answer
    x = 877,861.69

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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.