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Finding the Third Proportional to 188,102 and 402,088

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Solution

The third proportional to 188,102 and 402,088 is: 859,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,102 : 402,088 = 402,088 : x
  2. Step 2: Convert to fraction form
    188,102/402,088 = 402,088/x
  3. Step 3: Cross multiply
    188,102x = 402,088 × 402,088
  4. Step 4: Simplify right side
    188,102x = 161,674,759,744
  5. Step 5: Solve for x
    x = 161,674,759,744/188,102
  6. Step 6: Final answer
    x = 859,505.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.