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Finding the Third Proportional to 117,706.50 and 261,566.25

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Solution

The third proportional to 117,706.50 and 261,566.25 is: 581,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,706.50 : 261,566.25 = 261,566.25 : x
  2. Step 2: Convert to fraction form
    117,706.50/261,566.25 = 261,566.25/x
  3. Step 3: Cross multiply
    117,706.50x = 261,566.25 × 261,566.25
  4. Step 4: Simplify right side
    117,706.50x = 68,416,903,139.06
  5. Step 5: Solve for x
    x = 68,416,903,139.06/117,706.50
  6. Step 6: Final answer
    x = 581,250.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.