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Finding the Third Proportional to 237,972 and 368,478

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Solution

The third proportional to 237,972 and 368,478 is: 570,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,972 : 368,478 = 368,478 : x
  2. Step 2: Convert to fraction form
    237,972/368,478 = 368,478/x
  3. Step 3: Cross multiply
    237,972x = 368,478 × 368,478
  4. Step 4: Simplify right side
    237,972x = 135,776,036,484
  5. Step 5: Solve for x
    x = 135,776,036,484/237,972
  6. Step 6: Final answer
    x = 570,554.67

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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.