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Finding the Third Proportional to 147,767.06 and 234,021.38

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Solution

The third proportional to 147,767.06 and 234,021.38 is: 370,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,767.06 : 234,021.38 = 234,021.38 : x
  2. Step 2: Convert to fraction form
    147,767.06/234,021.38 = 234,021.38/x
  3. Step 3: Cross multiply
    147,767.06x = 234,021.38 × 234,021.38
  4. Step 4: Simplify right side
    147,767.06x = 54,766,003,956.89
  5. Step 5: Solve for x
    x = 54,766,003,956.89/147,767.06
  6. Step 6: Final answer
    x = 370,623.89

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.