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Finding the Third Proportional to 158,796 and 245,772

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Solution

The third proportional to 158,796 and 245,772 is: 380,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,796 : 245,772 = 245,772 : x
  2. Step 2: Convert to fraction form
    158,796/245,772 = 245,772/x
  3. Step 3: Cross multiply
    158,796x = 245,772 × 245,772
  4. Step 4: Simplify right side
    158,796x = 60,403,875,984
  5. Step 5: Solve for x
    x = 60,403,875,984/158,796
  6. Step 6: Final answer
    x = 380,386.63

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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.