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Finding the Third Proportional to 165,623 and 357,475

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Solution

The third proportional to 165,623 and 357,475 is: 771,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,623 : 357,475 = 357,475 : x
  2. Step 2: Convert to fraction form
    165,623/357,475 = 357,475/x
  3. Step 3: Cross multiply
    165,623x = 357,475 × 357,475
  4. Step 4: Simplify right side
    165,623x = 127,788,375,625
  5. Step 5: Solve for x
    x = 127,788,375,625/165,623
  6. Step 6: Final answer
    x = 771,561.77

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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.