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Finding the Third Proportional to 163,390.50 and 270,015

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Solution

The third proportional to 163,390.50 and 270,015 is: 446,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,390.50 : 270,015 = 270,015 : x
  2. Step 2: Convert to fraction form
    163,390.50/270,015 = 270,015/x
  3. Step 3: Cross multiply
    163,390.50x = 270,015 × 270,015
  4. Step 4: Simplify right side
    163,390.50x = 72,908,100,225
  5. Step 5: Solve for x
    x = 72,908,100,225/163,390.50
  6. Step 6: Final answer
    x = 446,219.95

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.