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Finding the Third Proportional to 118,148 and 259,261

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Solution

The third proportional to 118,148 and 259,261 is: 568,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,148 : 259,261 = 259,261 : x
  2. Step 2: Convert to fraction form
    118,148/259,261 = 259,261/x
  3. Step 3: Cross multiply
    118,148x = 259,261 × 259,261
  4. Step 4: Simplify right side
    118,148x = 67,216,266,121
  5. Step 5: Solve for x
    x = 67,216,266,121/118,148
  6. Step 6: Final answer
    x = 568,915.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.