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Finding the Third Proportional to 237,888 and 368,184

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Solution

The third proportional to 237,888 and 368,184 is: 569,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,888 : 368,184 = 368,184 : x
  2. Step 2: Convert to fraction form
    237,888/368,184 = 368,184/x
  3. Step 3: Cross multiply
    237,888x = 368,184 × 368,184
  4. Step 4: Simplify right side
    237,888x = 135,559,457,856
  5. Step 5: Solve for x
    x = 135,559,457,856/237,888
  6. Step 6: Final answer
    x = 569,845.72

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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.