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Finding the Third Proportional to 130,169 and 268,114

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Solution

The third proportional to 130,169 and 268,114 is: 552,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,169 : 268,114 = 268,114 : x
  2. Step 2: Convert to fraction form
    130,169/268,114 = 268,114/x
  3. Step 3: Cross multiply
    130,169x = 268,114 × 268,114
  4. Step 4: Simplify right side
    130,169x = 71,885,116,996
  5. Step 5: Solve for x
    x = 71,885,116,996/130,169
  6. Step 6: Final answer
    x = 552,244.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.