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Finding the Third Proportional to 202,056.50 and 316,980.75

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Solution

The third proportional to 202,056.50 and 316,980.75 is: 497,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,056.50 : 316,980.75 = 316,980.75 : x
  2. Step 2: Convert to fraction form
    202,056.50/316,980.75 = 316,980.75/x
  3. Step 3: Cross multiply
    202,056.50x = 316,980.75 × 316,980.75
  4. Step 4: Simplify right side
    202,056.50x = 100,476,795,870.56
  5. Step 5: Solve for x
    x = 100,476,795,870.56/202,056.50
  6. Step 6: Final answer
    x = 497,270.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.