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Finding the Third Proportional to 202,813 and 315,281

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Solution

The third proportional to 202,813 and 315,281 is: 490,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,813 : 315,281 = 315,281 : x
  2. Step 2: Convert to fraction form
    202,813/315,281 = 315,281/x
  3. Step 3: Cross multiply
    202,813x = 315,281 × 315,281
  4. Step 4: Simplify right side
    202,813x = 99,402,108,961
  5. Step 5: Solve for x
    x = 99,402,108,961/202,813
  6. Step 6: Final answer
    x = 490,117.05

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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.