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Finding the Third Proportional to 119,677.50 and 177,205.50

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Solution

The third proportional to 119,677.50 and 177,205.50 is: 262,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,677.50 : 177,205.50 = 177,205.50 : x
  2. Step 2: Convert to fraction form
    119,677.50/177,205.50 = 177,205.50/x
  3. Step 3: Cross multiply
    119,677.50x = 177,205.50 × 177,205.50
  4. Step 4: Simplify right side
    119,677.50x = 31,401,789,230.25
  5. Step 5: Solve for x
    x = 31,401,789,230.25/119,677.50
  6. Step 6: Final answer
    x = 262,386.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.