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Finding the Third Proportional to 117,554.63 and 176,329.13

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Solution

The third proportional to 117,554.63 and 176,329.13 is: 264,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,554.63 : 176,329.13 = 176,329.13 : x
  2. Step 2: Convert to fraction form
    117,554.63/176,329.13 = 176,329.13/x
  3. Step 3: Cross multiply
    117,554.63x = 176,329.13 × 176,329.13
  4. Step 4: Simplify right side
    117,554.63x = 31,091,960,323.27
  5. Step 5: Solve for x
    x = 31,091,960,323.27/117,554.63
  6. Step 6: Final answer
    x = 264,489.47

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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.