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Finding the Third Proportional to 174,148 and 382,545

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Solution

The third proportional to 174,148 and 382,545 is: 840,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,148 : 382,545 = 382,545 : x
  2. Step 2: Convert to fraction form
    174,148/382,545 = 382,545/x
  3. Step 3: Cross multiply
    174,148x = 382,545 × 382,545
  4. Step 4: Simplify right side
    174,148x = 146,340,677,025
  5. Step 5: Solve for x
    x = 146,340,677,025/174,148
  6. Step 6: Final answer
    x = 840,323.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.