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Finding the Third Proportional to 255,901.50 and 560,187

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Solution

The third proportional to 255,901.50 and 560,187 is: 1,226,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,901.50 : 560,187 = 560,187 : x
  2. Step 2: Convert to fraction form
    255,901.50/560,187 = 560,187/x
  3. Step 3: Cross multiply
    255,901.50x = 560,187 × 560,187
  4. Step 4: Simplify right side
    255,901.50x = 313,809,474,969
  5. Step 5: Solve for x
    x = 313,809,474,969/255,901.50
  6. Step 6: Final answer
    x = 1,226,290.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.