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Finding the Third Proportional to 158,276 and 334,210

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Solution

The third proportional to 158,276 and 334,210 is: 705,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,276 : 334,210 = 334,210 : x
  2. Step 2: Convert to fraction form
    158,276/334,210 = 334,210/x
  3. Step 3: Cross multiply
    158,276x = 334,210 × 334,210
  4. Step 4: Simplify right side
    158,276x = 111,696,324,100
  5. Step 5: Solve for x
    x = 111,696,324,100/158,276
  6. Step 6: Final answer
    x = 705,706.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.