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Finding the Third Proportional to 160,733.11 and 236,298.52

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Solution

The third proportional to 160,733.11 and 236,298.52 is: 347,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,733.11 : 236,298.52 = 236,298.52 : x
  2. Step 2: Convert to fraction form
    160,733.11/236,298.52 = 236,298.52/x
  3. Step 3: Cross multiply
    160,733.11x = 236,298.52 × 236,298.52
  4. Step 4: Simplify right side
    160,733.11x = 55,836,988,486.58
  5. Step 5: Solve for x
    x = 55,836,988,486.58/160,733.11
  6. Step 6: Final answer
    x = 347,389.46

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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.