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Finding the Third Proportional to 174,932.50 and 362,313

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Solution

The third proportional to 174,932.50 and 362,313 is: 750,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,932.50 : 362,313 = 362,313 : x
  2. Step 2: Convert to fraction form
    174,932.50/362,313 = 362,313/x
  3. Step 3: Cross multiply
    174,932.50x = 362,313 × 362,313
  4. Step 4: Simplify right side
    174,932.50x = 131,270,709,969
  5. Step 5: Solve for x
    x = 131,270,709,969/174,932.50
  6. Step 6: Final answer
    x = 750,407.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.