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Finding the Third Proportional to 176,293.13 and 380,640.09

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Solution

The third proportional to 176,293.13 and 380,640.09 is: 821,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,293.13 : 380,640.09 = 380,640.09 : x
  2. Step 2: Convert to fraction form
    176,293.13/380,640.09 = 380,640.09/x
  3. Step 3: Cross multiply
    176,293.13x = 380,640.09 × 380,640.09
  4. Step 4: Simplify right side
    176,293.13x = 144,886,880,970.01
  5. Step 5: Solve for x
    x = 144,886,880,970.01/176,293.13
  6. Step 6: Final answer
    x = 821,852.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.