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Finding the Third Proportional to 188,103 and 402,090

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Solution

The third proportional to 188,103 and 402,090 is: 859,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,103 : 402,090 = 402,090 : x
  2. Step 2: Convert to fraction form
    188,103/402,090 = 402,090/x
  3. Step 3: Cross multiply
    188,103x = 402,090 × 402,090
  4. Step 4: Simplify right side
    188,103x = 161,676,368,100
  5. Step 5: Solve for x
    x = 161,676,368,100/188,103
  6. Step 6: Final answer
    x = 859,509.78

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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.