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Finding the Third Proportional to 235,102 and 306,265

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Solution

The third proportional to 235,102 and 306,265 is: 398,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,102 : 306,265 = 306,265 : x
  2. Step 2: Convert to fraction form
    235,102/306,265 = 306,265/x
  3. Step 3: Cross multiply
    235,102x = 306,265 × 306,265
  4. Step 4: Simplify right side
    235,102x = 93,798,250,225
  5. Step 5: Solve for x
    x = 93,798,250,225/235,102
  6. Step 6: Final answer
    x = 398,968.32

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.