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Finding the Third Proportional to 105,277.50 and 214,785

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Solution

The third proportional to 105,277.50 and 214,785 is: 438,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,277.50 : 214,785 = 214,785 : x
  2. Step 2: Convert to fraction form
    105,277.50/214,785 = 214,785/x
  3. Step 3: Cross multiply
    105,277.50x = 214,785 × 214,785
  4. Step 4: Simplify right side
    105,277.50x = 46,132,596,225
  5. Step 5: Solve for x
    x = 46,132,596,225/105,277.50
  6. Step 6: Final answer
    x = 438,199.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.