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Finding the Third Proportional to 160,824.94 and 236,559.94

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Solution

The third proportional to 160,824.94 and 236,559.94 is: 347,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,824.94 : 236,559.94 = 236,559.94 : x
  2. Step 2: Convert to fraction form
    160,824.94/236,559.94 = 236,559.94/x
  3. Step 3: Cross multiply
    160,824.94x = 236,559.94 × 236,559.94
  4. Step 4: Simplify right side
    160,824.94x = 55,960,604,030.00
  5. Step 5: Solve for x
    x = 55,960,604,030.00/160,824.94
  6. Step 6: Final answer
    x = 347,959.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.