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Finding the Third Proportional to 186,797.50 and 405,347

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Solution

The third proportional to 186,797.50 and 405,347 is: 879,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,797.50 : 405,347 = 405,347 : x
  2. Step 2: Convert to fraction form
    186,797.50/405,347 = 405,347/x
  3. Step 3: Cross multiply
    186,797.50x = 405,347 × 405,347
  4. Step 4: Simplify right side
    186,797.50x = 164,306,190,409
  5. Step 5: Solve for x
    x = 164,306,190,409/186,797.50
  6. Step 6: Final answer
    x = 879,595.23

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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.