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Finding the Third Proportional to 201,915 and 313,534

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Solution

The third proportional to 201,915 and 313,534 is: 486,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,915 : 313,534 = 313,534 : x
  2. Step 2: Convert to fraction form
    201,915/313,534 = 313,534/x
  3. Step 3: Cross multiply
    201,915x = 313,534 × 313,534
  4. Step 4: Simplify right side
    201,915x = 98,303,569,156
  5. Step 5: Solve for x
    x = 98,303,569,156/201,915
  6. Step 6: Final answer
    x = 486,856.20

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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.