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Finding the Third Proportional to 144,639 and 211,315.50

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Solution

The third proportional to 144,639 and 211,315.50 is: 308,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,639 : 211,315.50 = 211,315.50 : x
  2. Step 2: Convert to fraction form
    144,639/211,315.50 = 211,315.50/x
  3. Step 3: Cross multiply
    144,639x = 211,315.50 × 211,315.50
  4. Step 4: Simplify right side
    144,639x = 44,654,240,540.25
  5. Step 5: Solve for x
    x = 44,654,240,540.25/144,639
  6. Step 6: Final answer
    x = 308,728.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.