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Finding the Third Proportional to 133,050 and 210,642

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Solution

The third proportional to 133,050 and 210,642 is: 333,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 210,642 = 210,642 : x
  2. Step 2: Convert to fraction form
    133,050/210,642 = 210,642/x
  3. Step 3: Cross multiply
    133,050x = 210,642 × 210,642
  4. Step 4: Simplify right side
    133,050x = 44,370,052,164
  5. Step 5: Solve for x
    x = 44,370,052,164/133,050
  6. Step 6: Final answer
    x = 333,484.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.