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Finding the Third Proportional to 165,642 and 357,522

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Solution

The third proportional to 165,642 and 357,522 is: 771,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,642 : 357,522 = 357,522 : x
  2. Step 2: Convert to fraction form
    165,642/357,522 = 357,522/x
  3. Step 3: Cross multiply
    165,642x = 357,522 × 357,522
  4. Step 4: Simplify right side
    165,642x = 127,821,980,484
  5. Step 5: Solve for x
    x = 127,821,980,484/165,642
  6. Step 6: Final answer
    x = 771,676.15

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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.