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Finding the Third Proportional to 253,085.45 and 355,947.06

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Solution

The third proportional to 253,085.45 and 355,947.06 is: 500,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,085.45 : 355,947.06 = 355,947.06 : x
  2. Step 2: Convert to fraction form
    253,085.45/355,947.06 = 355,947.06/x
  3. Step 3: Cross multiply
    253,085.45x = 355,947.06 × 355,947.06
  4. Step 4: Simplify right side
    253,085.45x = 126,698,312,692.79
  5. Step 5: Solve for x
    x = 126,698,312,692.79/253,085.45
  6. Step 6: Final answer
    x = 500,614.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.