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Finding the Third Proportional to 239,216 and 325,018

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Solution

The third proportional to 239,216 and 325,018 is: 441,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,216 : 325,018 = 325,018 : x
  2. Step 2: Convert to fraction form
    239,216/325,018 = 325,018/x
  3. Step 3: Cross multiply
    239,216x = 325,018 × 325,018
  4. Step 4: Simplify right side
    239,216x = 105,636,700,324
  5. Step 5: Solve for x
    x = 105,636,700,324/239,216
  6. Step 6: Final answer
    x = 441,595.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.