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Finding the Third Proportional to 237,870 and 368,072

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Solution

The third proportional to 237,870 and 368,072 is: 569,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,870 : 368,072 = 368,072 : x
  2. Step 2: Convert to fraction form
    237,870/368,072 = 368,072/x
  3. Step 3: Cross multiply
    237,870x = 368,072 × 368,072
  4. Step 4: Simplify right side
    237,870x = 135,476,997,184
  5. Step 5: Solve for x
    x = 135,476,997,184/237,870
  6. Step 6: Final answer
    x = 569,542.18

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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.