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Finding the Third Proportional to 130,270 and 270,908

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Solution

The third proportional to 130,270 and 270,908 is: 563,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,270 : 270,908 = 270,908 : x
  2. Step 2: Convert to fraction form
    130,270/270,908 = 270,908/x
  3. Step 3: Cross multiply
    130,270x = 270,908 × 270,908
  4. Step 4: Simplify right side
    130,270x = 73,391,144,464
  5. Step 5: Solve for x
    x = 73,391,144,464/130,270
  6. Step 6: Final answer
    x = 563,377.17

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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.