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Finding the Third Proportional to 163,410 and 231,237

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Solution

The third proportional to 163,410 and 231,237 is: 327,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,410 : 231,237 = 231,237 : x
  2. Step 2: Convert to fraction form
    163,410/231,237 = 231,237/x
  3. Step 3: Cross multiply
    163,410x = 231,237 × 231,237
  4. Step 4: Simplify right side
    163,410x = 53,470,550,169
  5. Step 5: Solve for x
    x = 53,470,550,169/163,410
  6. Step 6: Final answer
    x = 327,217.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.