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Finding the Third Proportional to 70,432 and 153,500

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Solution

The third proportional to 70,432 and 153,500 is: 334,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,432 : 153,500 = 153,500 : x
  2. Step 2: Convert to fraction form
    70,432/153,500 = 153,500/x
  3. Step 3: Cross multiply
    70,432x = 153,500 × 153,500
  4. Step 4: Simplify right side
    70,432x = 23,562,250,000
  5. Step 5: Solve for x
    x = 23,562,250,000/70,432
  6. Step 6: Final answer
    x = 334,538.99

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