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Finding the Third Proportional to 169,785 and 358,155

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Solution

The third proportional to 169,785 and 358,155 is: 755,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,785 : 358,155 = 358,155 : x
  2. Step 2: Convert to fraction form
    169,785/358,155 = 358,155/x
  3. Step 3: Cross multiply
    169,785x = 358,155 × 358,155
  4. Step 4: Simplify right side
    169,785x = 128,275,004,025
  5. Step 5: Solve for x
    x = 128,275,004,025/169,785
  6. Step 6: Final answer
    x = 755,514.35

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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.