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Finding the Third Proportional to 169,329 and 248,931

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Solution

The third proportional to 169,329 and 248,931 is: 365,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,329 : 248,931 = 248,931 : x
  2. Step 2: Convert to fraction form
    169,329/248,931 = 248,931/x
  3. Step 3: Cross multiply
    169,329x = 248,931 × 248,931
  4. Step 4: Simplify right side
    169,329x = 61,966,642,761
  5. Step 5: Solve for x
    x = 61,966,642,761/169,329
  6. Step 6: Final answer
    x = 365,954.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.