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Finding the Third Proportional to 197,973.75 and 433,362

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Solution

The third proportional to 197,973.75 and 433,362 is: 948,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,973.75 : 433,362 = 433,362 : x
  2. Step 2: Convert to fraction form
    197,973.75/433,362 = 433,362/x
  3. Step 3: Cross multiply
    197,973.75x = 433,362 × 433,362
  4. Step 4: Simplify right side
    197,973.75x = 187,802,623,044
  5. Step 5: Solve for x
    x = 187,802,623,044/197,973.75
  6. Step 6: Final answer
    x = 948,623.86

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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.