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Finding the Third Proportional to 98,463 and 237,385

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Solution

The third proportional to 98,463 and 237,385 is: 572,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,463 : 237,385 = 237,385 : x
  2. Step 2: Convert to fraction form
    98,463/237,385 = 237,385/x
  3. Step 3: Cross multiply
    98,463x = 237,385 × 237,385
  4. Step 4: Simplify right side
    98,463x = 56,351,638,225
  5. Step 5: Solve for x
    x = 56,351,638,225/98,463
  6. Step 6: Final answer
    x = 572,312.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.