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Finding the Third Proportional to 160,718.50 and 258,088

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Solution

The third proportional to 160,718.50 and 258,088 is: 414,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,718.50 : 258,088 = 258,088 : x
  2. Step 2: Convert to fraction form
    160,718.50/258,088 = 258,088/x
  3. Step 3: Cross multiply
    160,718.50x = 258,088 × 258,088
  4. Step 4: Simplify right side
    160,718.50x = 66,609,415,744
  5. Step 5: Solve for x
    x = 66,609,415,744/160,718.50
  6. Step 6: Final answer
    x = 414,447.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.