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Finding the Third Proportional to 186,707 and 405,126

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Solution

The third proportional to 186,707 and 405,126 is: 879,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,707 : 405,126 = 405,126 : x
  2. Step 2: Convert to fraction form
    186,707/405,126 = 405,126/x
  3. Step 3: Cross multiply
    186,707x = 405,126 × 405,126
  4. Step 4: Simplify right side
    186,707x = 164,127,075,876
  5. Step 5: Solve for x
    x = 164,127,075,876/186,707
  6. Step 6: Final answer
    x = 879,062.25

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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.