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Finding the Third Proportional to 172,634 and 233,243

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Solution

The third proportional to 172,634 and 233,243 is: 315,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,634 : 233,243 = 233,243 : x
  2. Step 2: Convert to fraction form
    172,634/233,243 = 233,243/x
  3. Step 3: Cross multiply
    172,634x = 233,243 × 233,243
  4. Step 4: Simplify right side
    172,634x = 54,402,297,049
  5. Step 5: Solve for x
    x = 54,402,297,049/172,634
  6. Step 6: Final answer
    x = 315,130.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.