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Finding the Third Proportional to 135,261 and 289,283

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Solution

The third proportional to 135,261 and 289,283 is: 618,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,261 : 289,283 = 289,283 : x
  2. Step 2: Convert to fraction form
    135,261/289,283 = 289,283/x
  3. Step 3: Cross multiply
    135,261x = 289,283 × 289,283
  4. Step 4: Simplify right side
    135,261x = 83,684,654,089
  5. Step 5: Solve for x
    x = 83,684,654,089/135,261
  6. Step 6: Final answer
    x = 618,690.19

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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.