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Finding the Third Proportional to 162,703 and 350,410

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Solution

The third proportional to 162,703 and 350,410 is: 754,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,703 : 350,410 = 350,410 : x
  2. Step 2: Convert to fraction form
    162,703/350,410 = 350,410/x
  3. Step 3: Cross multiply
    162,703x = 350,410 × 350,410
  4. Step 4: Simplify right side
    162,703x = 122,787,168,100
  5. Step 5: Solve for x
    x = 122,787,168,100/162,703
  6. Step 6: Final answer
    x = 754,670.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.