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Finding the Third Proportional to 158,252 and 211,396

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Solution

The third proportional to 158,252 and 211,396 is: 282,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,252 : 211,396 = 211,396 : x
  2. Step 2: Convert to fraction form
    158,252/211,396 = 211,396/x
  3. Step 3: Cross multiply
    158,252x = 211,396 × 211,396
  4. Step 4: Simplify right side
    158,252x = 44,688,268,816
  5. Step 5: Solve for x
    x = 44,688,268,816/158,252
  6. Step 6: Final answer
    x = 282,386.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.