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Finding the Third Proportional to 158,894 and 328,786

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Solution

The third proportional to 158,894 and 328,786 is: 680,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,894 : 328,786 = 328,786 : x
  2. Step 2: Convert to fraction form
    158,894/328,786 = 328,786/x
  3. Step 3: Cross multiply
    158,894x = 328,786 × 328,786
  4. Step 4: Simplify right side
    158,894x = 108,100,233,796
  5. Step 5: Solve for x
    x = 108,100,233,796/158,894
  6. Step 6: Final answer
    x = 680,329.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.