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Finding the Third Proportional to 188,996 and 292,641

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Solution

The third proportional to 188,996 and 292,641 is: 453,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,996 : 292,641 = 292,641 : x
  2. Step 2: Convert to fraction form
    188,996/292,641 = 292,641/x
  3. Step 3: Cross multiply
    188,996x = 292,641 × 292,641
  4. Step 4: Simplify right side
    188,996x = 85,638,754,881
  5. Step 5: Solve for x
    x = 85,638,754,881/188,996
  6. Step 6: Final answer
    x = 453,124.70

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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.