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Finding the Third Proportional to 176,038.25 and 380,134

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Solution

The third proportional to 176,038.25 and 380,134 is: 820,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,038.25 : 380,134 = 380,134 : x
  2. Step 2: Convert to fraction form
    176,038.25/380,134 = 380,134/x
  3. Step 3: Cross multiply
    176,038.25x = 380,134 × 380,134
  4. Step 4: Simplify right side
    176,038.25x = 144,501,857,956
  5. Step 5: Solve for x
    x = 144,501,857,956/176,038.25
  6. Step 6: Final answer
    x = 820,854.89

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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.