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Finding the Third Proportional to 174,145.78 and 382,541.06

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Solution

The third proportional to 174,145.78 and 382,541.06 is: 840,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,145.78 : 382,541.06 = 382,541.06 : x
  2. Step 2: Convert to fraction form
    174,145.78/382,541.06 = 382,541.06/x
  3. Step 3: Cross multiply
    174,145.78x = 382,541.06 × 382,541.06
  4. Step 4: Simplify right side
    174,145.78x = 146,337,664,498.63
  5. Step 5: Solve for x
    x = 146,337,664,498.63/174,145.78
  6. Step 6: Final answer
    x = 840,317.02

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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.