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Finding the Third Proportional to 177,931.50 and 388,695

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Solution

The third proportional to 177,931.50 and 388,695 is: 849,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,931.50 : 388,695 = 388,695 : x
  2. Step 2: Convert to fraction form
    177,931.50/388,695 = 388,695/x
  3. Step 3: Cross multiply
    177,931.50x = 388,695 × 388,695
  4. Step 4: Simplify right side
    177,931.50x = 151,083,803,025
  5. Step 5: Solve for x
    x = 151,083,803,025/177,931.50
  6. Step 6: Final answer
    x = 849,112.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.