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Finding the Third Proportional to 129,846.50 and 202,970.50

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Solution

The third proportional to 129,846.50 and 202,970.50 is: 317,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,846.50 : 202,970.50 = 202,970.50 : x
  2. Step 2: Convert to fraction form
    129,846.50/202,970.50 = 202,970.50/x
  3. Step 3: Cross multiply
    129,846.50x = 202,970.50 × 202,970.50
  4. Step 4: Simplify right side
    129,846.50x = 41,197,023,870.25
  5. Step 5: Solve for x
    x = 41,197,023,870.25/129,846.50
  6. Step 6: Final answer
    x = 317,274.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.