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Finding the Third Proportional to 185,052 and 403,395

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Solution

The third proportional to 185,052 and 403,395 is: 879,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,052 : 403,395 = 403,395 : x
  2. Step 2: Convert to fraction form
    185,052/403,395 = 403,395/x
  3. Step 3: Cross multiply
    185,052x = 403,395 × 403,395
  4. Step 4: Simplify right side
    185,052x = 162,727,526,025
  5. Step 5: Solve for x
    x = 162,727,526,025/185,052
  6. Step 6: Final answer
    x = 879,361.08

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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.