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Finding the Third Proportional to 130,558 and 281,852

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Solution

The third proportional to 130,558 and 281,852 is: 608,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,558 : 281,852 = 281,852 : x
  2. Step 2: Convert to fraction form
    130,558/281,852 = 281,852/x
  3. Step 3: Cross multiply
    130,558x = 281,852 × 281,852
  4. Step 4: Simplify right side
    130,558x = 79,440,549,904
  5. Step 5: Solve for x
    x = 79,440,549,904/130,558
  6. Step 6: Final answer
    x = 608,469.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.