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Finding the Third Proportional to 117,090 and 276,316

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Solution

The third proportional to 117,090 and 276,316 is: 652,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,090 : 276,316 = 276,316 : x
  2. Step 2: Convert to fraction form
    117,090/276,316 = 276,316/x
  3. Step 3: Cross multiply
    117,090x = 276,316 × 276,316
  4. Step 4: Simplify right side
    117,090x = 76,350,531,856
  5. Step 5: Solve for x
    x = 76,350,531,856/117,090
  6. Step 6: Final answer
    x = 652,067.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.