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Finding the Third Proportional to 170,464 and 255,588

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Solution

The third proportional to 170,464 and 255,588 is: 383,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,464 : 255,588 = 255,588 : x
  2. Step 2: Convert to fraction form
    170,464/255,588 = 255,588/x
  3. Step 3: Cross multiply
    170,464x = 255,588 × 255,588
  4. Step 4: Simplify right side
    170,464x = 65,325,225,744
  5. Step 5: Solve for x
    x = 65,325,225,744/170,464
  6. Step 6: Final answer
    x = 383,220.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.