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Finding the Third Proportional to 70,294 and 154,988

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Solution

The third proportional to 70,294 and 154,988 is: 341,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,294 : 154,988 = 154,988 : x
  2. Step 2: Convert to fraction form
    70,294/154,988 = 154,988/x
  3. Step 3: Cross multiply
    70,294x = 154,988 × 154,988
  4. Step 4: Simplify right side
    70,294x = 24,021,280,144
  5. Step 5: Solve for x
    x = 24,021,280,144/70,294
  6. Step 6: Final answer
    x = 341,725.90

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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.