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Finding the Third Proportional to 169,472 and 258,768

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Solution

The third proportional to 169,472 and 258,768 is: 395,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,472 : 258,768 = 258,768 : x
  2. Step 2: Convert to fraction form
    169,472/258,768 = 258,768/x
  3. Step 3: Cross multiply
    169,472x = 258,768 × 258,768
  4. Step 4: Simplify right side
    169,472x = 66,960,877,824
  5. Step 5: Solve for x
    x = 66,960,877,824/169,472
  6. Step 6: Final answer
    x = 395,114.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.