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Finding the Third Proportional to 202,083.75 and 311,549.63

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Solution

The third proportional to 202,083.75 and 311,549.63 is: 480,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,083.75 : 311,549.63 = 311,549.63 : x
  2. Step 2: Convert to fraction form
    202,083.75/311,549.63 = 311,549.63/x
  3. Step 3: Cross multiply
    202,083.75x = 311,549.63 × 311,549.63
  4. Step 4: Simplify right side
    202,083.75x = 97,063,168,837.64
  5. Step 5: Solve for x
    x = 97,063,168,837.64/202,083.75
  6. Step 6: Final answer
    x = 480,311.60

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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.