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Finding the Third Proportional to 195,036 and 425,328

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Solution

The third proportional to 195,036 and 425,328 is: 927,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,036 : 425,328 = 425,328 : x
  2. Step 2: Convert to fraction form
    195,036/425,328 = 425,328/x
  3. Step 3: Cross multiply
    195,036x = 425,328 × 425,328
  4. Step 4: Simplify right side
    195,036x = 180,903,907,584
  5. Step 5: Solve for x
    x = 180,903,907,584/195,036
  6. Step 6: Final answer
    x = 927,541.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.