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Finding the Third Proportional to 170,494.88 and 258,111.56

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Solution

The third proportional to 170,494.88 and 258,111.56 is: 390,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,494.88 : 258,111.56 = 258,111.56 : x
  2. Step 2: Convert to fraction form
    170,494.88/258,111.56 = 258,111.56/x
  3. Step 3: Cross multiply
    170,494.88x = 258,111.56 × 258,111.56
  4. Step 4: Simplify right side
    170,494.88x = 66,621,578,696.19
  5. Step 5: Solve for x
    x = 66,621,578,696.19/170,494.88
  6. Step 6: Final answer
    x = 390,754.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.