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Finding the Third Proportional to 188,352 and 407,808

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Solution

The third proportional to 188,352 and 407,808 is: 882,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,352 : 407,808 = 407,808 : x
  2. Step 2: Convert to fraction form
    188,352/407,808 = 407,808/x
  3. Step 3: Cross multiply
    188,352x = 407,808 × 407,808
  4. Step 4: Simplify right side
    188,352x = 166,307,364,864
  5. Step 5: Solve for x
    x = 166,307,364,864/188,352
  6. Step 6: Final answer
    x = 882,960.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.