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Finding the Third Proportional to 174,623 and 258,658

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Solution

The third proportional to 174,623 and 258,658 is: 383,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,623 : 258,658 = 258,658 : x
  2. Step 2: Convert to fraction form
    174,623/258,658 = 258,658/x
  3. Step 3: Cross multiply
    174,623x = 258,658 × 258,658
  4. Step 4: Simplify right side
    174,623x = 66,903,960,964
  5. Step 5: Solve for x
    x = 66,903,960,964/174,623
  6. Step 6: Final answer
    x = 383,133.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.