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Finding the Third Proportional to 141,313.50 and 310,518

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Solution

The third proportional to 141,313.50 and 310,518 is: 682,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,313.50 : 310,518 = 310,518 : x
  2. Step 2: Convert to fraction form
    141,313.50/310,518 = 310,518/x
  3. Step 3: Cross multiply
    141,313.50x = 310,518 × 310,518
  4. Step 4: Simplify right side
    141,313.50x = 96,421,428,324
  5. Step 5: Solve for x
    x = 96,421,428,324/141,313.50
  6. Step 6: Final answer
    x = 682,322.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.