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Finding the Third Proportional to 202,899.94 and 316,631.53

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Solution

The third proportional to 202,899.94 and 316,631.53 is: 494,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,899.94 : 316,631.53 = 316,631.53 : x
  2. Step 2: Convert to fraction form
    202,899.94/316,631.53 = 316,631.53/x
  3. Step 3: Cross multiply
    202,899.94x = 316,631.53 × 316,631.53
  4. Step 4: Simplify right side
    202,899.94x = 100,255,526,581.72
  5. Step 5: Solve for x
    x = 100,255,526,581.72/202,899.94
  6. Step 6: Final answer
    x = 494,113.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.