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Finding the Third Proportional to 173,485.31 and 258,788.81

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Solution

The third proportional to 173,485.31 and 258,788.81 is: 386,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,485.31 : 258,788.81 = 258,788.81 : x
  2. Step 2: Convert to fraction form
    173,485.31/258,788.81 = 258,788.81/x
  3. Step 3: Cross multiply
    173,485.31x = 258,788.81 × 258,788.81
  4. Step 4: Simplify right side
    173,485.31x = 66,971,649,475.16
  5. Step 5: Solve for x
    x = 66,971,649,475.16/173,485.31
  6. Step 6: Final answer
    x = 386,036.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.