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Finding the Third Proportional to 165,032 and 257,408

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Solution

The third proportional to 165,032 and 257,408 is: 401,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,032 : 257,408 = 257,408 : x
  2. Step 2: Convert to fraction form
    165,032/257,408 = 257,408/x
  3. Step 3: Cross multiply
    165,032x = 257,408 × 257,408
  4. Step 4: Simplify right side
    165,032x = 66,258,878,464
  5. Step 5: Solve for x
    x = 66,258,878,464/165,032
  6. Step 6: Final answer
    x = 401,491.10

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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.