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Finding the Third Proportional to 112,707 and 266,539.50

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Solution

The third proportional to 112,707 and 266,539.50 is: 630,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,707 : 266,539.50 = 266,539.50 : x
  2. Step 2: Convert to fraction form
    112,707/266,539.50 = 266,539.50/x
  3. Step 3: Cross multiply
    112,707x = 266,539.50 × 266,539.50
  4. Step 4: Simplify right side
    112,707x = 71,043,305,060.25
  5. Step 5: Solve for x
    x = 71,043,305,060.25/112,707
  6. Step 6: Final answer
    x = 630,336.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.