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Finding the Third Proportional to 237,416 and 367,124

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Solution

The third proportional to 237,416 and 367,124 is: 567,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,416 : 367,124 = 367,124 : x
  2. Step 2: Convert to fraction form
    237,416/367,124 = 367,124/x
  3. Step 3: Cross multiply
    237,416x = 367,124 × 367,124
  4. Step 4: Simplify right side
    237,416x = 134,780,031,376
  5. Step 5: Solve for x
    x = 134,780,031,376/237,416
  6. Step 6: Final answer
    x = 567,695.65

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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.