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Finding the Third Proportional to 186,930 and 410,048

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Solution

The third proportional to 186,930 and 410,048 is: 899,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,930 : 410,048 = 410,048 : x
  2. Step 2: Convert to fraction form
    186,930/410,048 = 410,048/x
  3. Step 3: Cross multiply
    186,930x = 410,048 × 410,048
  4. Step 4: Simplify right side
    186,930x = 168,139,362,304
  5. Step 5: Solve for x
    x = 168,139,362,304/186,930
  6. Step 6: Final answer
    x = 899,477.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.