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Finding the Third Proportional to 158,360 and 232,356

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Solution

The third proportional to 158,360 and 232,356 is: 340,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,360 : 232,356 = 232,356 : x
  2. Step 2: Convert to fraction form
    158,360/232,356 = 232,356/x
  3. Step 3: Cross multiply
    158,360x = 232,356 × 232,356
  4. Step 4: Simplify right side
    158,360x = 53,989,310,736
  5. Step 5: Solve for x
    x = 53,989,310,736/158,360
  6. Step 6: Final answer
    x = 340,927.70

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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.