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Finding the Third Proportional to 70,284 and 154,968

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Solution

The third proportional to 70,284 and 154,968 is: 341,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,284 : 154,968 = 154,968 : x
  2. Step 2: Convert to fraction form
    70,284/154,968 = 154,968/x
  3. Step 3: Cross multiply
    70,284x = 154,968 × 154,968
  4. Step 4: Simplify right side
    70,284x = 24,015,081,024
  5. Step 5: Solve for x
    x = 24,015,081,024/70,284
  6. Step 6: Final answer
    x = 341,686.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.