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Finding the Third Proportional to 191,975.06 and 258,438.09

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Solution

The third proportional to 191,975.06 and 258,438.09 is: 347,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,975.06 : 258,438.09 = 258,438.09 : x
  2. Step 2: Convert to fraction form
    191,975.06/258,438.09 = 258,438.09/x
  3. Step 3: Cross multiply
    191,975.06x = 258,438.09 × 258,438.09
  4. Step 4: Simplify right side
    191,975.06x = 66,790,248,301.13
  5. Step 5: Solve for x
    x = 66,790,248,301.13/191,975.06
  6. Step 6: Final answer
    x = 347,911.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.