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Finding the Third Proportional to 117,282 and 276,585

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Solution

The third proportional to 117,282 and 276,585 is: 652,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,282 : 276,585 = 276,585 : x
  2. Step 2: Convert to fraction form
    117,282/276,585 = 276,585/x
  3. Step 3: Cross multiply
    117,282x = 276,585 × 276,585
  4. Step 4: Simplify right side
    117,282x = 76,499,262,225
  5. Step 5: Solve for x
    x = 76,499,262,225/117,282
  6. Step 6: Final answer
    x = 652,267.72

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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.