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Finding the Third Proportional to 130,518 and 200,970

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Solution

The third proportional to 130,518 and 200,970 is: 309,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,518 : 200,970 = 200,970 : x
  2. Step 2: Convert to fraction form
    130,518/200,970 = 200,970/x
  3. Step 3: Cross multiply
    130,518x = 200,970 × 200,970
  4. Step 4: Simplify right side
    130,518x = 40,388,940,900
  5. Step 5: Solve for x
    x = 40,388,940,900/130,518
  6. Step 6: Final answer
    x = 309,451.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.