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Finding the Third Proportional to 165,672 and 360,768

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Solution

The third proportional to 165,672 and 360,768 is: 785,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,672 : 360,768 = 360,768 : x
  2. Step 2: Convert to fraction form
    165,672/360,768 = 360,768/x
  3. Step 3: Cross multiply
    165,672x = 360,768 × 360,768
  4. Step 4: Simplify right side
    165,672x = 130,153,549,824
  5. Step 5: Solve for x
    x = 130,153,549,824/165,672
  6. Step 6: Final answer
    x = 785,609.82

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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.