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Finding the Third Proportional to 108,720 and 237,376

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Solution

The third proportional to 108,720 and 237,376 is: 518,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,720 : 237,376 = 237,376 : x
  2. Step 2: Convert to fraction form
    108,720/237,376 = 237,376/x
  3. Step 3: Cross multiply
    108,720x = 237,376 × 237,376
  4. Step 4: Simplify right side
    108,720x = 56,347,365,376
  5. Step 5: Solve for x
    x = 56,347,365,376/108,720
  6. Step 6: Final answer
    x = 518,279.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.