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Finding the Third Proportional to 134,643 and 283,214

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Solution

The third proportional to 134,643 and 283,214 is: 595,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,643 : 283,214 = 283,214 : x
  2. Step 2: Convert to fraction form
    134,643/283,214 = 283,214/x
  3. Step 3: Cross multiply
    134,643x = 283,214 × 283,214
  4. Step 4: Simplify right side
    134,643x = 80,210,169,796
  5. Step 5: Solve for x
    x = 80,210,169,796/134,643
  6. Step 6: Final answer
    x = 595,724.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.