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Finding the Third Proportional to 116,752 and 243,544

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Solution

The third proportional to 116,752 and 243,544 is: 508,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,752 : 243,544 = 243,544 : x
  2. Step 2: Convert to fraction form
    116,752/243,544 = 243,544/x
  3. Step 3: Cross multiply
    116,752x = 243,544 × 243,544
  4. Step 4: Simplify right side
    116,752x = 59,313,679,936
  5. Step 5: Solve for x
    x = 59,313,679,936/116,752
  6. Step 6: Final answer
    x = 508,031.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.