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Finding the Third Proportional to 165,758 and 354,784

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Solution

The third proportional to 165,758 and 354,784 is: 759,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,758 : 354,784 = 354,784 : x
  2. Step 2: Convert to fraction form
    165,758/354,784 = 354,784/x
  3. Step 3: Cross multiply
    165,758x = 354,784 × 354,784
  4. Step 4: Simplify right side
    165,758x = 125,871,686,656
  5. Step 5: Solve for x
    x = 125,871,686,656/165,758
  6. Step 6: Final answer
    x = 759,370.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.