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Finding the Third Proportional to 162,448.88 and 345,942.56

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Solution

The third proportional to 162,448.88 and 345,942.56 is: 736,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,448.88 : 345,942.56 = 345,942.56 : x
  2. Step 2: Convert to fraction form
    162,448.88/345,942.56 = 345,942.56/x
  3. Step 3: Cross multiply
    162,448.88x = 345,942.56 × 345,942.56
  4. Step 4: Simplify right side
    162,448.88x = 119,676,256,549.07
  5. Step 5: Solve for x
    x = 119,676,256,549.07/162,448.88
  6. Step 6: Final answer
    x = 736,701.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.