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Finding the Third Proportional to 130,410 and 274,833

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Solution

The third proportional to 130,410 and 274,833 is: 579,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,410 : 274,833 = 274,833 : x
  2. Step 2: Convert to fraction form
    130,410/274,833 = 274,833/x
  3. Step 3: Cross multiply
    130,410x = 274,833 × 274,833
  4. Step 4: Simplify right side
    130,410x = 75,533,177,889
  5. Step 5: Solve for x
    x = 75,533,177,889/130,410
  6. Step 6: Final answer
    x = 579,197.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.