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Finding the Third Proportional to 130,269 and 270,906

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Solution

The third proportional to 130,269 and 270,906 is: 563,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,269 : 270,906 = 270,906 : x
  2. Step 2: Convert to fraction form
    130,269/270,906 = 270,906/x
  3. Step 3: Cross multiply
    130,269x = 270,906 × 270,906
  4. Step 4: Simplify right side
    130,269x = 73,390,060,836
  5. Step 5: Solve for x
    x = 73,390,060,836/130,269
  6. Step 6: Final answer
    x = 563,373.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.