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Finding the Third Proportional to 173,582.88 and 270,523.13

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Solution

The third proportional to 173,582.88 and 270,523.13 is: 421,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,582.88 : 270,523.13 = 270,523.13 : x
  2. Step 2: Convert to fraction form
    173,582.88/270,523.13 = 270,523.13/x
  3. Step 3: Cross multiply
    173,582.88x = 270,523.13 × 270,523.13
  4. Step 4: Simplify right side
    173,582.88x = 73,182,761,159.77
  5. Step 5: Solve for x
    x = 73,182,761,159.77/173,582.88
  6. Step 6: Final answer
    x = 421,601.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.