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Finding the Third Proportional to 117,564 and 176,344

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Solution

The third proportional to 117,564 and 176,344 is: 264,513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,564 : 176,344 = 176,344 : x
  2. Step 2: Convert to fraction form
    117,564/176,344 = 176,344/x
  3. Step 3: Cross multiply
    117,564x = 176,344 × 176,344
  4. Step 4: Simplify right side
    117,564x = 31,097,206,336
  5. Step 5: Solve for x
    x = 31,097,206,336/117,564
  6. Step 6: Final answer
    x = 264,513.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.