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Finding the Third Proportional to 169,272 and 257,232

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Solution

The third proportional to 169,272 and 257,232 is: 390,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,272 : 257,232 = 257,232 : x
  2. Step 2: Convert to fraction form
    169,272/257,232 = 257,232/x
  3. Step 3: Cross multiply
    169,272x = 257,232 × 257,232
  4. Step 4: Simplify right side
    169,272x = 66,168,301,824
  5. Step 5: Solve for x
    x = 66,168,301,824/169,272
  6. Step 6: Final answer
    x = 390,899.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.