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Finding the Third Proportional to 186,912 and 405,373.50

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Solution

The third proportional to 186,912 and 405,373.50 is: 879,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,912 : 405,373.50 = 405,373.50 : x
  2. Step 2: Convert to fraction form
    186,912/405,373.50 = 405,373.50/x
  3. Step 3: Cross multiply
    186,912x = 405,373.50 × 405,373.50
  4. Step 4: Simplify right side
    186,912x = 164,327,674,502.25
  5. Step 5: Solve for x
    x = 164,327,674,502.25/186,912
  6. Step 6: Final answer
    x = 879,171.35

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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.