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Finding the Third Proportional to 70,294 and 151,340

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Solution

The third proportional to 70,294 and 151,340 is: 325,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,294 : 151,340 = 151,340 : x
  2. Step 2: Convert to fraction form
    70,294/151,340 = 151,340/x
  3. Step 3: Cross multiply
    70,294x = 151,340 × 151,340
  4. Step 4: Simplify right side
    70,294x = 22,903,795,600
  5. Step 5: Solve for x
    x = 22,903,795,600/70,294
  6. Step 6: Final answer
    x = 325,828.60

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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.