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Finding the Third Proportional to 70,294 and 153,068

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Solution

The third proportional to 70,294 and 153,068 is: 333,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,294 : 153,068 = 153,068 : x
  2. Step 2: Convert to fraction form
    70,294/153,068 = 153,068/x
  3. Step 3: Cross multiply
    70,294x = 153,068 × 153,068
  4. Step 4: Simplify right side
    70,294x = 23,429,812,624
  5. Step 5: Solve for x
    x = 23,429,812,624/70,294
  6. Step 6: Final answer
    x = 333,311.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.