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Finding the Third Proportional to 188,971 and 292,584

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Solution

The third proportional to 188,971 and 292,584 is: 453,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,971 : 292,584 = 292,584 : x
  2. Step 2: Convert to fraction form
    188,971/292,584 = 292,584/x
  3. Step 3: Cross multiply
    188,971x = 292,584 × 292,584
  4. Step 4: Simplify right side
    188,971x = 85,605,397,056
  5. Step 5: Solve for x
    x = 85,605,397,056/188,971
  6. Step 6: Final answer
    x = 453,008.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.