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Finding the Third Proportional to 202,259 and 314,045

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Solution

The third proportional to 202,259 and 314,045 is: 487,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,259 : 314,045 = 314,045 : x
  2. Step 2: Convert to fraction form
    202,259/314,045 = 314,045/x
  3. Step 3: Cross multiply
    202,259x = 314,045 × 314,045
  4. Step 4: Simplify right side
    202,259x = 98,624,262,025
  5. Step 5: Solve for x
    x = 98,624,262,025/202,259
  6. Step 6: Final answer
    x = 487,613.71

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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.