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Finding the Third Proportional to 165,312 and 360,108

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Solution

The third proportional to 165,312 and 360,108 is: 784,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,312 : 360,108 = 360,108 : x
  2. Step 2: Convert to fraction form
    165,312/360,108 = 360,108/x
  3. Step 3: Cross multiply
    165,312x = 360,108 × 360,108
  4. Step 4: Simplify right side
    165,312x = 129,677,771,664
  5. Step 5: Solve for x
    x = 129,677,771,664/165,312
  6. Step 6: Final answer
    x = 784,442.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.