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Finding the Third Proportional to 120,271.50 and 258,312

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Solution

The third proportional to 120,271.50 and 258,312 is: 554,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,271.50 : 258,312 = 258,312 : x
  2. Step 2: Convert to fraction form
    120,271.50/258,312 = 258,312/x
  3. Step 3: Cross multiply
    120,271.50x = 258,312 × 258,312
  4. Step 4: Simplify right side
    120,271.50x = 66,725,089,344
  5. Step 5: Solve for x
    x = 66,725,089,344/120,271.50
  6. Step 6: Final answer
    x = 554,787.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.