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Finding the Third Proportional to 170,334 and 358,308

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Solution

The third proportional to 170,334 and 358,308 is: 753,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,334 : 358,308 = 358,308 : x
  2. Step 2: Convert to fraction form
    170,334/358,308 = 358,308/x
  3. Step 3: Cross multiply
    170,334x = 358,308 × 358,308
  4. Step 4: Simplify right side
    170,334x = 128,384,622,864
  5. Step 5: Solve for x
    x = 128,384,622,864/170,334
  6. Step 6: Final answer
    x = 753,722.82

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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.