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Finding the Third Proportional to 130,854 and 285,516

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Solution

The third proportional to 130,854 and 285,516 is: 622,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,854 : 285,516 = 285,516 : x
  2. Step 2: Convert to fraction form
    130,854/285,516 = 285,516/x
  3. Step 3: Cross multiply
    130,854x = 285,516 × 285,516
  4. Step 4: Simplify right side
    130,854x = 81,519,386,256
  5. Step 5: Solve for x
    x = 81,519,386,256/130,854
  6. Step 6: Final answer
    x = 622,979.70

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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.