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Finding the Third Proportional to 114,264 and 242,352

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Solution

The third proportional to 114,264 and 242,352 is: 514,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,264 : 242,352 = 242,352 : x
  2. Step 2: Convert to fraction form
    114,264/242,352 = 242,352/x
  3. Step 3: Cross multiply
    114,264x = 242,352 × 242,352
  4. Step 4: Simplify right side
    114,264x = 58,734,491,904
  5. Step 5: Solve for x
    x = 58,734,491,904/114,264
  6. Step 6: Final answer
    x = 514,024.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.