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Finding the Third Proportional to 117,552 and 261,264

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Solution

The third proportional to 117,552 and 261,264 is: 580,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,552 : 261,264 = 261,264 : x
  2. Step 2: Convert to fraction form
    117,552/261,264 = 261,264/x
  3. Step 3: Cross multiply
    117,552x = 261,264 × 261,264
  4. Step 4: Simplify right side
    117,552x = 68,258,877,696
  5. Step 5: Solve for x
    x = 68,258,877,696/117,552
  6. Step 6: Final answer
    x = 580,669.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.