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Finding the Third Proportional to 184,219 and 403,510

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Solution

The third proportional to 184,219 and 403,510 is: 883,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,219 : 403,510 = 403,510 : x
  2. Step 2: Convert to fraction form
    184,219/403,510 = 403,510/x
  3. Step 3: Cross multiply
    184,219x = 403,510 × 403,510
  4. Step 4: Simplify right side
    184,219x = 162,820,320,100
  5. Step 5: Solve for x
    x = 162,820,320,100/184,219
  6. Step 6: Final answer
    x = 883,841.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.