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Finding the Third Proportional to 70,300 and 151,352

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Solution

The third proportional to 70,300 and 151,352 is: 325,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,300 : 151,352 = 151,352 : x
  2. Step 2: Convert to fraction form
    70,300/151,352 = 151,352/x
  3. Step 3: Cross multiply
    70,300x = 151,352 × 151,352
  4. Step 4: Simplify right side
    70,300x = 22,907,427,904
  5. Step 5: Solve for x
    x = 22,907,427,904/70,300
  6. Step 6: Final answer
    x = 325,852.46

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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.