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Finding the Third Proportional to 202,090.50 and 311,560.88

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Solution

The third proportional to 202,090.50 and 311,560.88 is: 480,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,090.50 : 311,560.88 = 311,560.88 : x
  2. Step 2: Convert to fraction form
    202,090.50/311,560.88 = 311,560.88/x
  3. Step 3: Cross multiply
    202,090.50x = 311,560.88 × 311,560.88
  4. Step 4: Simplify right side
    202,090.50x = 97,070,178,830.77
  5. Step 5: Solve for x
    x = 97,070,178,830.77/202,090.50
  6. Step 6: Final answer
    x = 480,330.24

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