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Finding the Third Proportional to 165,772 and 357,752

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Solution

The third proportional to 165,772 and 357,752 is: 772,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,772 : 357,752 = 357,752 : x
  2. Step 2: Convert to fraction form
    165,772/357,752 = 357,752/x
  3. Step 3: Cross multiply
    165,772x = 357,752 × 357,752
  4. Step 4: Simplify right side
    165,772x = 127,986,493,504
  5. Step 5: Solve for x
    x = 127,986,493,504/165,772
  6. Step 6: Final answer
    x = 772,063.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.