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Finding the Third Proportional to 169,563 and 358,026

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Solution

The third proportional to 169,563 and 358,026 is: 755,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,563 : 358,026 = 358,026 : x
  2. Step 2: Convert to fraction form
    169,563/358,026 = 358,026/x
  3. Step 3: Cross multiply
    169,563x = 358,026 × 358,026
  4. Step 4: Simplify right side
    169,563x = 128,182,616,676
  5. Step 5: Solve for x
    x = 128,182,616,676/169,563
  6. Step 6: Final answer
    x = 755,958.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.