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Finding the Third Proportional to 198,076 and 433,580

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Solution

The third proportional to 198,076 and 433,580 is: 949,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,076 : 433,580 = 433,580 : x
  2. Step 2: Convert to fraction form
    198,076/433,580 = 433,580/x
  3. Step 3: Cross multiply
    198,076x = 433,580 × 433,580
  4. Step 4: Simplify right side
    198,076x = 187,991,616,400
  5. Step 5: Solve for x
    x = 187,991,616,400/198,076
  6. Step 6: Final answer
    x = 949,088.31

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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.