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Finding the Third Proportional to 196,475.63 and 428,672.25

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Solution

The third proportional to 196,475.63 and 428,672.25 is: 935,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,475.63 : 428,672.25 = 428,672.25 : x
  2. Step 2: Convert to fraction form
    196,475.63/428,672.25 = 428,672.25/x
  3. Step 3: Cross multiply
    196,475.63x = 428,672.25 × 428,672.25
  4. Step 4: Simplify right side
    196,475.63x = 183,759,897,920.06
  5. Step 5: Solve for x
    x = 183,759,897,920.06/196,475.63
  6. Step 6: Final answer
    x = 935,280.89

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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.