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Finding the Third Proportional to 158,432 and 352,284

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Solution

The third proportional to 158,432 and 352,284 is: 783,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,432 : 352,284 = 352,284 : x
  2. Step 2: Convert to fraction form
    158,432/352,284 = 352,284/x
  3. Step 3: Cross multiply
    158,432x = 352,284 × 352,284
  4. Step 4: Simplify right side
    158,432x = 124,104,016,656
  5. Step 5: Solve for x
    x = 124,104,016,656/158,432
  6. Step 6: Final answer
    x = 783,326.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.