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Finding the Third Proportional to 130,516 and 285,004

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Solution

The third proportional to 130,516 and 285,004 is: 622,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,516 : 285,004 = 285,004 : x
  2. Step 2: Convert to fraction form
    130,516/285,004 = 285,004/x
  3. Step 3: Cross multiply
    130,516x = 285,004 × 285,004
  4. Step 4: Simplify right side
    130,516x = 81,227,280,016
  5. Step 5: Solve for x
    x = 81,227,280,016/130,516
  6. Step 6: Final answer
    x = 622,354.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.