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Finding the Third Proportional to 163,575 and 231,966

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Solution

The third proportional to 163,575 and 231,966 is: 328,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,575 : 231,966 = 231,966 : x
  2. Step 2: Convert to fraction form
    163,575/231,966 = 231,966/x
  3. Step 3: Cross multiply
    163,575x = 231,966 × 231,966
  4. Step 4: Simplify right side
    163,575x = 53,808,225,156
  5. Step 5: Solve for x
    x = 53,808,225,156/163,575
  6. Step 6: Final answer
    x = 328,951.40

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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.