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Finding the Third Proportional to 246,059.25 and 536,587.50

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Solution

The third proportional to 246,059.25 and 536,587.50 is: 1,170,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,059.25 : 536,587.50 = 536,587.50 : x
  2. Step 2: Convert to fraction form
    246,059.25/536,587.50 = 536,587.50/x
  3. Step 3: Cross multiply
    246,059.25x = 536,587.50 × 536,587.50
  4. Step 4: Simplify right side
    246,059.25x = 287,926,145,156.25
  5. Step 5: Solve for x
    x = 287,926,145,156.25/246,059.25
  6. Step 6: Final answer
    x = 1,170,149.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.