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Finding the Third Proportional to 130,321.50 and 201,468

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Solution

The third proportional to 130,321.50 and 201,468 is: 311,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,321.50 : 201,468 = 201,468 : x
  2. Step 2: Convert to fraction form
    130,321.50/201,468 = 201,468/x
  3. Step 3: Cross multiply
    130,321.50x = 201,468 × 201,468
  4. Step 4: Simplify right side
    130,321.50x = 40,589,355,024
  5. Step 5: Solve for x
    x = 40,589,355,024/130,321.50
  6. Step 6: Final answer
    x = 311,455.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.