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Finding the Third Proportional to 120,702.50 and 265,033.50

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Solution

The third proportional to 120,702.50 and 265,033.50 is: 581,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,702.50 : 265,033.50 = 265,033.50 : x
  2. Step 2: Convert to fraction form
    120,702.50/265,033.50 = 265,033.50/x
  3. Step 3: Cross multiply
    120,702.50x = 265,033.50 × 265,033.50
  4. Step 4: Simplify right side
    120,702.50x = 70,242,756,122.25
  5. Step 5: Solve for x
    x = 70,242,756,122.25/120,702.50
  6. Step 6: Final answer
    x = 581,949.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.