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Finding the Third Proportional to 175,565 and 414,188

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Solution

The third proportional to 175,565 and 414,188 is: 977,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,565 : 414,188 = 414,188 : x
  2. Step 2: Convert to fraction form
    175,565/414,188 = 414,188/x
  3. Step 3: Cross multiply
    175,565x = 414,188 × 414,188
  4. Step 4: Simplify right side
    175,565x = 171,551,699,344
  5. Step 5: Solve for x
    x = 171,551,699,344/175,565
  6. Step 6: Final answer
    x = 977,140.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.