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Finding the Third Proportional to 158,786 and 245,643

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Solution

The third proportional to 158,786 and 245,643 is: 380,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,786 : 245,643 = 245,643 : x
  2. Step 2: Convert to fraction form
    158,786/245,643 = 245,643/x
  3. Step 3: Cross multiply
    158,786x = 245,643 × 245,643
  4. Step 4: Simplify right side
    158,786x = 60,340,483,449
  5. Step 5: Solve for x
    x = 60,340,483,449/158,786
  6. Step 6: Final answer
    x = 380,011.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.