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Finding the Third Proportional to 176,548.50 and 382,429.13

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Solution

The third proportional to 176,548.50 and 382,429.13 is: 828,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,548.50 : 382,429.13 = 382,429.13 : x
  2. Step 2: Convert to fraction form
    176,548.50/382,429.13 = 382,429.13/x
  3. Step 3: Cross multiply
    176,548.50x = 382,429.13 × 382,429.13
  4. Step 4: Simplify right side
    176,548.50x = 146,252,035,648.27
  5. Step 5: Solve for x
    x = 146,252,035,648.27/176,548.50
  6. Step 6: Final answer
    x = 828,395.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.