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Finding the Third Proportional to 165,559 and 357,583

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Solution

The third proportional to 165,559 and 357,583 is: 772,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,559 : 357,583 = 357,583 : x
  2. Step 2: Convert to fraction form
    165,559/357,583 = 357,583/x
  3. Step 3: Cross multiply
    165,559x = 357,583 × 357,583
  4. Step 4: Simplify right side
    165,559x = 127,865,601,889
  5. Step 5: Solve for x
    x = 127,865,601,889/165,559
  6. Step 6: Final answer
    x = 772,326.49

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