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Finding the Third Proportional to 237,886 and 368,910

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Solution

The third proportional to 237,886 and 368,910 is: 572,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,886 : 368,910 = 368,910 : x
  2. Step 2: Convert to fraction form
    237,886/368,910 = 368,910/x
  3. Step 3: Cross multiply
    237,886x = 368,910 × 368,910
  4. Step 4: Simplify right side
    237,886x = 136,094,588,100
  5. Step 5: Solve for x
    x = 136,094,588,100/237,886
  6. Step 6: Final answer
    x = 572,100.03

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