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Finding the Third Proportional to 186,992 and 407,776

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Solution

The third proportional to 186,992 and 407,776 is: 889,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,992 : 407,776 = 407,776 : x
  2. Step 2: Convert to fraction form
    186,992/407,776 = 407,776/x
  3. Step 3: Cross multiply
    186,992x = 407,776 × 407,776
  4. Step 4: Simplify right side
    186,992x = 166,281,266,176
  5. Step 5: Solve for x
    x = 166,281,266,176/186,992
  6. Step 6: Final answer
    x = 889,242.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.