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Finding the Third Proportional to 162,124.50 and 258,999

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Solution

The third proportional to 162,124.50 and 258,999 is: 413,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,124.50 : 258,999 = 258,999 : x
  2. Step 2: Convert to fraction form
    162,124.50/258,999 = 258,999/x
  3. Step 3: Cross multiply
    162,124.50x = 258,999 × 258,999
  4. Step 4: Simplify right side
    162,124.50x = 67,080,482,001
  5. Step 5: Solve for x
    x = 67,080,482,001/162,124.50
  6. Step 6: Final answer
    x = 413,759.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.