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Finding the Third Proportional to 145,809 and 225,166.50

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Solution

The third proportional to 145,809 and 225,166.50 is: 347,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,809 : 225,166.50 = 225,166.50 : x
  2. Step 2: Convert to fraction form
    145,809/225,166.50 = 225,166.50/x
  3. Step 3: Cross multiply
    145,809x = 225,166.50 × 225,166.50
  4. Step 4: Simplify right side
    145,809x = 50,699,952,722.25
  5. Step 5: Solve for x
    x = 50,699,952,722.25/145,809
  6. Step 6: Final answer
    x = 347,714.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.