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Finding the Third Proportional to 172,148 and 407,028

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Solution

The third proportional to 172,148 and 407,028 is: 962,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,148 : 407,028 = 407,028 : x
  2. Step 2: Convert to fraction form
    172,148/407,028 = 407,028/x
  3. Step 3: Cross multiply
    172,148x = 407,028 × 407,028
  4. Step 4: Simplify right side
    172,148x = 165,671,792,784
  5. Step 5: Solve for x
    x = 165,671,792,784/172,148
  6. Step 6: Final answer
    x = 962,380.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.