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Finding the Third Proportional to 195,513.75 and 428,398.88

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Solution

The third proportional to 195,513.75 and 428,398.88 is: 938,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,513.75 : 428,398.88 = 428,398.88 : x
  2. Step 2: Convert to fraction form
    195,513.75/428,398.88 = 428,398.88/x
  3. Step 3: Cross multiply
    195,513.75x = 428,398.88 × 428,398.88
  4. Step 4: Simplify right side
    195,513.75x = 183,525,596,101.27
  5. Step 5: Solve for x
    x = 183,525,596,101.27/195,513.75
  6. Step 6: Final answer
    x = 938,683.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.