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Finding the Third Proportional to 172,046.11 and 370,457.72

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Solution

The third proportional to 172,046.11 and 370,457.72 is: 797,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,046.11 : 370,457.72 = 370,457.72 : x
  2. Step 2: Convert to fraction form
    172,046.11/370,457.72 = 370,457.72/x
  3. Step 3: Cross multiply
    172,046.11x = 370,457.72 × 370,457.72
  4. Step 4: Simplify right side
    172,046.11x = 137,238,921,381.45
  5. Step 5: Solve for x
    x = 137,238,921,381.45/172,046.11
  6. Step 6: Final answer
    x = 797,686.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.