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Finding the Third Proportional to 140,506.88 and 190,461.94

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Solution

The third proportional to 140,506.88 and 190,461.94 is: 258,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,506.88 : 190,461.94 = 190,461.94 : x
  2. Step 2: Convert to fraction form
    140,506.88/190,461.94 = 190,461.94/x
  3. Step 3: Cross multiply
    140,506.88x = 190,461.94 × 190,461.94
  4. Step 4: Simplify right side
    140,506.88x = 36,275,749,636.25
  5. Step 5: Solve for x
    x = 36,275,749,636.25/140,506.88
  6. Step 6: Final answer
    x = 258,177.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.