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Finding the Third Proportional to 158,623 and 343,382

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Solution

The third proportional to 158,623 and 343,382 is: 743,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,623 : 343,382 = 343,382 : x
  2. Step 2: Convert to fraction form
    158,623/343,382 = 343,382/x
  3. Step 3: Cross multiply
    158,623x = 343,382 × 343,382
  4. Step 4: Simplify right side
    158,623x = 117,911,197,924
  5. Step 5: Solve for x
    x = 117,911,197,924/158,623
  6. Step 6: Final answer
    x = 743,342.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.