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Finding the Third Proportional to 161,907 and 343,543.50

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Solution

The third proportional to 161,907 and 343,543.50 is: 728,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,907 : 343,543.50 = 343,543.50 : x
  2. Step 2: Convert to fraction form
    161,907/343,543.50 = 343,543.50/x
  3. Step 3: Cross multiply
    161,907x = 343,543.50 × 343,543.50
  4. Step 4: Simplify right side
    161,907x = 118,022,136,392.25
  5. Step 5: Solve for x
    x = 118,022,136,392.25/161,907
  6. Step 6: Final answer
    x = 728,950.18

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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.