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Finding the Third Proportional to 174,964 and 271,437

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Solution

The third proportional to 174,964 and 271,437 is: 421,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,964 : 271,437 = 271,437 : x
  2. Step 2: Convert to fraction form
    174,964/271,437 = 271,437/x
  3. Step 3: Cross multiply
    174,964x = 271,437 × 271,437
  4. Step 4: Simplify right side
    174,964x = 73,678,044,969
  5. Step 5: Solve for x
    x = 73,678,044,969/174,964
  6. Step 6: Final answer
    x = 421,104.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.