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Finding the Third Proportional to 237,882 and 368,904

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Solution

The third proportional to 237,882 and 368,904 is: 572,091.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,882 : 368,904 = 368,904 : x
  2. Step 2: Convert to fraction form
    237,882/368,904 = 368,904/x
  3. Step 3: Cross multiply
    237,882x = 368,904 × 368,904
  4. Step 4: Simplify right side
    237,882x = 136,090,161,216
  5. Step 5: Solve for x
    x = 136,090,161,216/237,882
  6. Step 6: Final answer
    x = 572,091.04

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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.