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Finding the Third Proportional to 186,948 and 407,729

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Solution

The third proportional to 186,948 and 407,729 is: 889,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,948 : 407,729 = 407,729 : x
  2. Step 2: Convert to fraction form
    186,948/407,729 = 407,729/x
  3. Step 3: Cross multiply
    186,948x = 407,729 × 407,729
  4. Step 4: Simplify right side
    186,948x = 166,242,937,441
  5. Step 5: Solve for x
    x = 166,242,937,441/186,948
  6. Step 6: Final answer
    x = 889,246.94

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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.