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Finding the Third Proportional to 158,033 and 334,651

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Solution

The third proportional to 158,033 and 334,651 is: 708,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,033 : 334,651 = 334,651 : x
  2. Step 2: Convert to fraction form
    158,033/334,651 = 334,651/x
  3. Step 3: Cross multiply
    158,033x = 334,651 × 334,651
  4. Step 4: Simplify right side
    158,033x = 111,991,291,801
  5. Step 5: Solve for x
    x = 111,991,291,801/158,033
  6. Step 6: Final answer
    x = 708,657.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.