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Finding the Third Proportional to 130,386 and 270,564

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Solution

The third proportional to 130,386 and 270,564 is: 561,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,386 : 270,564 = 270,564 : x
  2. Step 2: Convert to fraction form
    130,386/270,564 = 270,564/x
  3. Step 3: Cross multiply
    130,386x = 270,564 × 270,564
  4. Step 4: Simplify right side
    130,386x = 73,204,878,096
  5. Step 5: Solve for x
    x = 73,204,878,096/130,386
  6. Step 6: Final answer
    x = 561,447.38

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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.