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Finding the Third Proportional to 146,320 and 232,692

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Solution

The third proportional to 146,320 and 232,692 is: 370,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,320 : 232,692 = 232,692 : x
  2. Step 2: Convert to fraction form
    146,320/232,692 = 232,692/x
  3. Step 3: Cross multiply
    146,320x = 232,692 × 232,692
  4. Step 4: Simplify right side
    146,320x = 54,145,566,864
  5. Step 5: Solve for x
    x = 54,145,566,864/146,320
  6. Step 6: Final answer
    x = 370,048.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.