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Finding the Third Proportional to 158,364 and 232,362

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Solution

The third proportional to 158,364 and 232,362 is: 340,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,364 : 232,362 = 232,362 : x
  2. Step 2: Convert to fraction form
    158,364/232,362 = 232,362/x
  3. Step 3: Cross multiply
    158,364x = 232,362 × 232,362
  4. Step 4: Simplify right side
    158,364x = 53,992,099,044
  5. Step 5: Solve for x
    x = 53,992,099,044/158,364
  6. Step 6: Final answer
    x = 340,936.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.