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Finding the Third Proportional to 111,084.50 and 238,585

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Solution

The third proportional to 111,084.50 and 238,585 is: 512,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,084.50 : 238,585 = 238,585 : x
  2. Step 2: Convert to fraction form
    111,084.50/238,585 = 238,585/x
  3. Step 3: Cross multiply
    111,084.50x = 238,585 × 238,585
  4. Step 4: Simplify right side
    111,084.50x = 56,922,802,225
  5. Step 5: Solve for x
    x = 56,922,802,225/111,084.50
  6. Step 6: Final answer
    x = 512,427.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.