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Finding the Third Proportional to 198,600 and 294,041.25

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Solution

The third proportional to 198,600 and 294,041.25 is: 435,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,600 : 294,041.25 = 294,041.25 : x
  2. Step 2: Convert to fraction form
    198,600/294,041.25 = 294,041.25/x
  3. Step 3: Cross multiply
    198,600x = 294,041.25 × 294,041.25
  4. Step 4: Simplify right side
    198,600x = 86,460,256,701.56
  5. Step 5: Solve for x
    x = 86,460,256,701.56/198,600
  6. Step 6: Final answer
    x = 435,348.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.