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Finding the Third Proportional to 117,172 and 276,484

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Solution

The third proportional to 117,172 and 276,484 is: 652,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,172 : 276,484 = 276,484 : x
  2. Step 2: Convert to fraction form
    117,172/276,484 = 276,484/x
  3. Step 3: Cross multiply
    117,172x = 276,484 × 276,484
  4. Step 4: Simplify right side
    117,172x = 76,443,402,256
  5. Step 5: Solve for x
    x = 76,443,402,256/117,172
  6. Step 6: Final answer
    x = 652,403.32

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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.