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Finding the Third Proportional to 173,205 and 360,018

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Solution

The third proportional to 173,205 and 360,018 is: 748,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,205 : 360,018 = 360,018 : x
  2. Step 2: Convert to fraction form
    173,205/360,018 = 360,018/x
  3. Step 3: Cross multiply
    173,205x = 360,018 × 360,018
  4. Step 4: Simplify right side
    173,205x = 129,612,960,324
  5. Step 5: Solve for x
    x = 129,612,960,324/173,205
  6. Step 6: Final answer
    x = 748,321.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.