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Finding the Third Proportional to 158,368 and 232,368

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Solution

The third proportional to 158,368 and 232,368 is: 340,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,368 : 232,368 = 232,368 : x
  2. Step 2: Convert to fraction form
    158,368/232,368 = 232,368/x
  3. Step 3: Cross multiply
    158,368x = 232,368 × 232,368
  4. Step 4: Simplify right side
    158,368x = 53,994,887,424
  5. Step 5: Solve for x
    x = 53,994,887,424/158,368
  6. Step 6: Final answer
    x = 340,945.69

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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.