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Finding the Third Proportional to 160,633.13 and 233,421.75

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Solution

The third proportional to 160,633.13 and 233,421.75 is: 339,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,633.13 : 233,421.75 = 233,421.75 : x
  2. Step 2: Convert to fraction form
    160,633.13/233,421.75 = 233,421.75/x
  3. Step 3: Cross multiply
    160,633.13x = 233,421.75 × 233,421.75
  4. Step 4: Simplify right side
    160,633.13x = 54,485,713,373.06
  5. Step 5: Solve for x
    x = 54,485,713,373.06/160,633.13
  6. Step 6: Final answer
    x = 339,193.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.