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Finding the Third Proportional to 202,549.50 and 320,314.50

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Solution

The third proportional to 202,549.50 and 320,314.50 is: 506,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,549.50 : 320,314.50 = 320,314.50 : x
  2. Step 2: Convert to fraction form
    202,549.50/320,314.50 = 320,314.50/x
  3. Step 3: Cross multiply
    202,549.50x = 320,314.50 × 320,314.50
  4. Step 4: Simplify right side
    202,549.50x = 102,601,378,910.25
  5. Step 5: Solve for x
    x = 102,601,378,910.25/202,549.50
  6. Step 6: Final answer
    x = 506,549.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.