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Finding the Third Proportional to 158,436 and 352,292

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Solution

The third proportional to 158,436 and 352,292 is: 783,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,436 : 352,292 = 352,292 : x
  2. Step 2: Convert to fraction form
    158,436/352,292 = 352,292/x
  3. Step 3: Cross multiply
    158,436x = 352,292 × 352,292
  4. Step 4: Simplify right side
    158,436x = 124,109,653,264
  5. Step 5: Solve for x
    x = 124,109,653,264/158,436
  6. Step 6: Final answer
    x = 783,342.51

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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.