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Finding the Third Proportional to 185,054 and 403,399

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Solution

The third proportional to 185,054 and 403,399 is: 879,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,054 : 403,399 = 403,399 : x
  2. Step 2: Convert to fraction form
    185,054/403,399 = 403,399/x
  3. Step 3: Cross multiply
    185,054x = 403,399 × 403,399
  4. Step 4: Simplify right side
    185,054x = 162,730,753,201
  5. Step 5: Solve for x
    x = 162,730,753,201/185,054
  6. Step 6: Final answer
    x = 879,369.01

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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.