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Finding the Third Proportional to 140,977.50 and 305,187

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Solution

The third proportional to 140,977.50 and 305,187 is: 660,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,977.50 : 305,187 = 305,187 : x
  2. Step 2: Convert to fraction form
    140,977.50/305,187 = 305,187/x
  3. Step 3: Cross multiply
    140,977.50x = 305,187 × 305,187
  4. Step 4: Simplify right side
    140,977.50x = 93,139,104,969
  5. Step 5: Solve for x
    x = 93,139,104,969/140,977.50
  6. Step 6: Final answer
    x = 660,666.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.