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Finding the Third Proportional to 114,700 and 237,463

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Solution

The third proportional to 114,700 and 237,463 is: 491,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,700 : 237,463 = 237,463 : x
  2. Step 2: Convert to fraction form
    114,700/237,463 = 237,463/x
  3. Step 3: Cross multiply
    114,700x = 237,463 × 237,463
  4. Step 4: Simplify right side
    114,700x = 56,388,676,369
  5. Step 5: Solve for x
    x = 56,388,676,369/114,700
  6. Step 6: Final answer
    x = 491,618.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.