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Finding the Third Proportional to 165,344 and 358,160

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Solution

The third proportional to 165,344 and 358,160 is: 775,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,344 : 358,160 = 358,160 : x
  2. Step 2: Convert to fraction form
    165,344/358,160 = 358,160/x
  3. Step 3: Cross multiply
    165,344x = 358,160 × 358,160
  4. Step 4: Simplify right side
    165,344x = 128,278,585,600
  5. Step 5: Solve for x
    x = 128,278,585,600/165,344
  6. Step 6: Final answer
    x = 775,828.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.