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Finding the Third Proportional to 191,724 and 416,580

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Solution

The third proportional to 191,724 and 416,580 is: 905,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,724 : 416,580 = 416,580 : x
  2. Step 2: Convert to fraction form
    191,724/416,580 = 416,580/x
  3. Step 3: Cross multiply
    191,724x = 416,580 × 416,580
  4. Step 4: Simplify right side
    191,724x = 173,538,896,400
  5. Step 5: Solve for x
    x = 173,538,896,400/191,724
  6. Step 6: Final answer
    x = 905,149.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.