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Finding the Third Proportional to 245,263.50 and 347,073.75

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Solution

The third proportional to 245,263.50 and 347,073.75 is: 491,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,263.50 : 347,073.75 = 347,073.75 : x
  2. Step 2: Convert to fraction form
    245,263.50/347,073.75 = 347,073.75/x
  3. Step 3: Cross multiply
    245,263.50x = 347,073.75 × 347,073.75
  4. Step 4: Simplify right side
    245,263.50x = 120,460,187,939.06
  5. Step 5: Solve for x
    x = 120,460,187,939.06/245,263.50
  6. Step 6: Final answer
    x = 491,146.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.