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Finding the Third Proportional to 109,752 and 242,352

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Solution

The third proportional to 109,752 and 242,352 is: 535,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,752 : 242,352 = 242,352 : x
  2. Step 2: Convert to fraction form
    109,752/242,352 = 242,352/x
  3. Step 3: Cross multiply
    109,752x = 242,352 × 242,352
  4. Step 4: Simplify right side
    109,752x = 58,734,491,904
  5. Step 5: Solve for x
    x = 58,734,491,904/109,752
  6. Step 6: Final answer
    x = 535,156.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.