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Finding the Third Proportional to 186,069 and 393,973.50

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Solution

The third proportional to 186,069 and 393,973.50 is: 834,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,069 : 393,973.50 = 393,973.50 : x
  2. Step 2: Convert to fraction form
    186,069/393,973.50 = 393,973.50/x
  3. Step 3: Cross multiply
    186,069x = 393,973.50 × 393,973.50
  4. Step 4: Simplify right side
    186,069x = 155,215,118,702.25
  5. Step 5: Solve for x
    x = 155,215,118,702.25/186,069
  6. Step 6: Final answer
    x = 834,180.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.