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Finding the Third Proportional to 134,298 and 205,659

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Solution

The third proportional to 134,298 and 205,659 is: 314,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,298 : 205,659 = 205,659 : x
  2. Step 2: Convert to fraction form
    134,298/205,659 = 205,659/x
  3. Step 3: Cross multiply
    134,298x = 205,659 × 205,659
  4. Step 4: Simplify right side
    134,298x = 42,295,624,281
  5. Step 5: Solve for x
    x = 42,295,624,281/134,298
  6. Step 6: Final answer
    x = 314,938.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.