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Finding the Third Proportional to 135,264 and 289,290

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Solution

The third proportional to 135,264 and 289,290 is: 618,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,264 : 289,290 = 289,290 : x
  2. Step 2: Convert to fraction form
    135,264/289,290 = 289,290/x
  3. Step 3: Cross multiply
    135,264x = 289,290 × 289,290
  4. Step 4: Simplify right side
    135,264x = 83,688,704,100
  5. Step 5: Solve for x
    x = 83,688,704,100/135,264
  6. Step 6: Final answer
    x = 618,706.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.