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Finding the Third Proportional to 188,916 and 292,464

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Solution

The third proportional to 188,916 and 292,464 is: 452,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,916 : 292,464 = 292,464 : x
  2. Step 2: Convert to fraction form
    188,916/292,464 = 292,464/x
  3. Step 3: Cross multiply
    188,916x = 292,464 × 292,464
  4. Step 4: Simplify right side
    188,916x = 85,535,191,296
  5. Step 5: Solve for x
    x = 85,535,191,296/188,916
  6. Step 6: Final answer
    x = 452,768.38

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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.