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Finding the Third Proportional to 236,528 and 340,026

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Solution

The third proportional to 236,528 and 340,026 is: 488,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,528 : 340,026 = 340,026 : x
  2. Step 2: Convert to fraction form
    236,528/340,026 = 340,026/x
  3. Step 3: Cross multiply
    236,528x = 340,026 × 340,026
  4. Step 4: Simplify right side
    236,528x = 115,617,680,676
  5. Step 5: Solve for x
    x = 115,617,680,676/236,528
  6. Step 6: Final answer
    x = 488,811.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.