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Finding the Third Proportional to 162,186.75 and 258,269.63

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Solution

The third proportional to 162,186.75 and 258,269.63 is: 411,274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,186.75 : 258,269.63 = 258,269.63 : x
  2. Step 2: Convert to fraction form
    162,186.75/258,269.63 = 258,269.63/x
  3. Step 3: Cross multiply
    162,186.75x = 258,269.63 × 258,269.63
  4. Step 4: Simplify right side
    162,186.75x = 66,703,199,197.64
  5. Step 5: Solve for x
    x = 66,703,199,197.64/162,186.75
  6. Step 6: Final answer
    x = 411,274.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.