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Finding the Third Proportional to 198,020 and 433,468

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Solution

The third proportional to 198,020 and 433,468 is: 948,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,020 : 433,468 = 433,468 : x
  2. Step 2: Convert to fraction form
    198,020/433,468 = 433,468/x
  3. Step 3: Cross multiply
    198,020x = 433,468 × 433,468
  4. Step 4: Simplify right side
    198,020x = 187,894,507,024
  5. Step 5: Solve for x
    x = 187,894,507,024/198,020
  6. Step 6: Final answer
    x = 948,866.31

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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.