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Finding the Third Proportional to 74,346 and 163,452

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Solution

The third proportional to 74,346 and 163,452 is: 359,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,346 : 163,452 = 163,452 : x
  2. Step 2: Convert to fraction form
    74,346/163,452 = 163,452/x
  3. Step 3: Cross multiply
    74,346x = 163,452 × 163,452
  4. Step 4: Simplify right side
    74,346x = 26,716,556,304
  5. Step 5: Solve for x
    x = 26,716,556,304/74,346
  6. Step 6: Final answer
    x = 359,354.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.