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Finding the Third Proportional to 130,964 and 281,044

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Solution

The third proportional to 130,964 and 281,044 is: 603,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,964 : 281,044 = 281,044 : x
  2. Step 2: Convert to fraction form
    130,964/281,044 = 281,044/x
  3. Step 3: Cross multiply
    130,964x = 281,044 × 281,044
  4. Step 4: Simplify right side
    130,964x = 78,985,729,936
  5. Step 5: Solve for x
    x = 78,985,729,936/130,964
  6. Step 6: Final answer
    x = 603,110.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.