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Finding the Third Proportional to 173,209.01 and 380,136.16

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Solution

The third proportional to 173,209.01 and 380,136.16 is: 834,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,209.01 : 380,136.16 = 380,136.16 : x
  2. Step 2: Convert to fraction form
    173,209.01/380,136.16 = 380,136.16/x
  3. Step 3: Cross multiply
    173,209.01x = 380,136.16 × 380,136.16
  4. Step 4: Simplify right side
    173,209.01x = 144,503,503,228.15
  5. Step 5: Solve for x
    x = 144,503,503,228.15/173,209.01
  6. Step 6: Final answer
    x = 834,272.45

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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.