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Finding the Third Proportional to 197,653.50 and 433,397.25

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Solution

The third proportional to 197,653.50 and 433,397.25 is: 950,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,653.50 : 433,397.25 = 433,397.25 : x
  2. Step 2: Convert to fraction form
    197,653.50/433,397.25 = 433,397.25/x
  3. Step 3: Cross multiply
    197,653.50x = 433,397.25 × 433,397.25
  4. Step 4: Simplify right side
    197,653.50x = 187,833,176,307.56
  5. Step 5: Solve for x
    x = 187,833,176,307.56/197,653.50
  6. Step 6: Final answer
    x = 950,315.46

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