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Finding the Third Proportional to 176,030 and 415,135

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Solution

The third proportional to 176,030 and 415,135 is: 979,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,030 : 415,135 = 415,135 : x
  2. Step 2: Convert to fraction form
    176,030/415,135 = 415,135/x
  3. Step 3: Cross multiply
    176,030x = 415,135 × 415,135
  4. Step 4: Simplify right side
    176,030x = 172,337,068,225
  5. Step 5: Solve for x
    x = 172,337,068,225/176,030
  6. Step 6: Final answer
    x = 979,021.01

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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.