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Finding the Third Proportional to 202,827.16 and 315,312.43

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Solution

The third proportional to 202,827.16 and 315,312.43 is: 490,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,827.16 : 315,312.43 = 315,312.43 : x
  2. Step 2: Convert to fraction form
    202,827.16/315,312.43 = 315,312.43/x
  3. Step 3: Cross multiply
    202,827.16x = 315,312.43 × 315,312.43
  4. Step 4: Simplify right side
    202,827.16x = 99,421,930,778.81
  5. Step 5: Solve for x
    x = 99,421,930,778.81/202,827.16
  6. Step 6: Final answer
    x = 490,180.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.