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Finding the Third Proportional to 139,348 and 212,298

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Solution

The third proportional to 139,348 and 212,298 is: 323,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,348 : 212,298 = 212,298 : x
  2. Step 2: Convert to fraction form
    139,348/212,298 = 212,298/x
  3. Step 3: Cross multiply
    139,348x = 212,298 × 212,298
  4. Step 4: Simplify right side
    139,348x = 45,070,440,804
  5. Step 5: Solve for x
    x = 45,070,440,804/139,348
  6. Step 6: Final answer
    x = 323,438.02

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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.