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Finding the Third Proportional to 190,145 and 403,614

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Solution

The third proportional to 190,145 and 403,614 is: 856,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,145 : 403,614 = 403,614 : x
  2. Step 2: Convert to fraction form
    190,145/403,614 = 403,614/x
  3. Step 3: Cross multiply
    190,145x = 403,614 × 403,614
  4. Step 4: Simplify right side
    190,145x = 162,904,260,996
  5. Step 5: Solve for x
    x = 162,904,260,996/190,145
  6. Step 6: Final answer
    x = 856,737.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.