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Finding the Third Proportional to 76,465 and 158,306

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Solution

The third proportional to 76,465 and 158,306 is: 327,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,465 : 158,306 = 158,306 : x
  2. Step 2: Convert to fraction form
    76,465/158,306 = 158,306/x
  3. Step 3: Cross multiply
    76,465x = 158,306 × 158,306
  4. Step 4: Simplify right side
    76,465x = 25,060,789,636
  5. Step 5: Solve for x
    x = 25,060,789,636/76,465
  6. Step 6: Final answer
    x = 327,741.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.