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Finding the Third Proportional to 188,532 and 390,186

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Solution

The third proportional to 188,532 and 390,186 is: 807,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,532 : 390,186 = 390,186 : x
  2. Step 2: Convert to fraction form
    188,532/390,186 = 390,186/x
  3. Step 3: Cross multiply
    188,532x = 390,186 × 390,186
  4. Step 4: Simplify right side
    188,532x = 152,245,114,596
  5. Step 5: Solve for x
    x = 152,245,114,596/188,532
  6. Step 6: Final answer
    x = 807,529.30

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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.