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Finding the Third Proportional to 158,640 and 344,928

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Solution

The third proportional to 158,640 and 344,928 is: 749,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,640 : 344,928 = 344,928 : x
  2. Step 2: Convert to fraction form
    158,640/344,928 = 344,928/x
  3. Step 3: Cross multiply
    158,640x = 344,928 × 344,928
  4. Step 4: Simplify right side
    158,640x = 118,975,325,184
  5. Step 5: Solve for x
    x = 118,975,325,184/158,640
  6. Step 6: Final answer
    x = 749,970.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.