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Finding the Third Proportional to 101,702 and 210,476

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Solution

The third proportional to 101,702 and 210,476 is: 435,587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,702 : 210,476 = 210,476 : x
  2. Step 2: Convert to fraction form
    101,702/210,476 = 210,476/x
  3. Step 3: Cross multiply
    101,702x = 210,476 × 210,476
  4. Step 4: Simplify right side
    101,702x = 44,300,146,576
  5. Step 5: Solve for x
    x = 44,300,146,576/101,702
  6. Step 6: Final answer
    x = 435,587.76

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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.