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Finding the Third Proportional to 130,176 and 270,648

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Solution

The third proportional to 130,176 and 270,648 is: 562,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,176 : 270,648 = 270,648 : x
  2. Step 2: Convert to fraction form
    130,176/270,648 = 270,648/x
  3. Step 3: Cross multiply
    130,176x = 270,648 × 270,648
  4. Step 4: Simplify right side
    130,176x = 73,250,339,904
  5. Step 5: Solve for x
    x = 73,250,339,904/130,176
  6. Step 6: Final answer
    x = 562,702.34

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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.