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Finding the Third Proportional to 130,707 and 201,150

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Solution

The third proportional to 130,707 and 201,150 is: 309,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,707 : 201,150 = 201,150 : x
  2. Step 2: Convert to fraction form
    130,707/201,150 = 201,150/x
  3. Step 3: Cross multiply
    130,707x = 201,150 × 201,150
  4. Step 4: Simplify right side
    130,707x = 40,461,322,500
  5. Step 5: Solve for x
    x = 40,461,322,500/130,707
  6. Step 6: Final answer
    x = 309,557.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.