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Finding the Third Proportional to 172,530.50 and 264,819.50

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Solution

The third proportional to 172,530.50 and 264,819.50 is: 406,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,530.50 : 264,819.50 = 264,819.50 : x
  2. Step 2: Convert to fraction form
    172,530.50/264,819.50 = 264,819.50/x
  3. Step 3: Cross multiply
    172,530.50x = 264,819.50 × 264,819.50
  4. Step 4: Simplify right side
    172,530.50x = 70,129,367,580.25
  5. Step 5: Solve for x
    x = 70,129,367,580.25/172,530.50
  6. Step 6: Final answer
    x = 406,475.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.