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Finding the Third Proportional to 164,309.50 and 264,536.50

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Solution

The third proportional to 164,309.50 and 264,536.50 is: 425,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,309.50 : 264,536.50 = 264,536.50 : x
  2. Step 2: Convert to fraction form
    164,309.50/264,536.50 = 264,536.50/x
  3. Step 3: Cross multiply
    164,309.50x = 264,536.50 × 264,536.50
  4. Step 4: Simplify right side
    164,309.50x = 69,979,559,832.25
  5. Step 5: Solve for x
    x = 69,979,559,832.25/164,309.50
  6. Step 6: Final answer
    x = 425,900.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.