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Finding the Third Proportional to 130,004 and 281,330

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Solution

The third proportional to 130,004 and 281,330 is: 608,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,004 : 281,330 = 281,330 : x
  2. Step 2: Convert to fraction form
    130,004/281,330 = 281,330/x
  3. Step 3: Cross multiply
    130,004x = 281,330 × 281,330
  4. Step 4: Simplify right side
    130,004x = 79,146,568,900
  5. Step 5: Solve for x
    x = 79,146,568,900/130,004
  6. Step 6: Final answer
    x = 608,801.03

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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.