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Finding the Third Proportional to 195,655.50 and 262,071

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Solution

The third proportional to 195,655.50 and 262,071 is: 351,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,655.50 : 262,071 = 262,071 : x
  2. Step 2: Convert to fraction form
    195,655.50/262,071 = 262,071/x
  3. Step 3: Cross multiply
    195,655.50x = 262,071 × 262,071
  4. Step 4: Simplify right side
    195,655.50x = 68,681,209,041
  5. Step 5: Solve for x
    x = 68,681,209,041/195,655.50
  6. Step 6: Final answer
    x = 351,031.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.