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Finding the Third Proportional to 79,624.13 and 174,015

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Solution

The third proportional to 79,624.13 and 174,015 is: 380,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,624.13 : 174,015 = 174,015 : x
  2. Step 2: Convert to fraction form
    79,624.13/174,015 = 174,015/x
  3. Step 3: Cross multiply
    79,624.13x = 174,015 × 174,015
  4. Step 4: Simplify right side
    79,624.13x = 30,281,220,225
  5. Step 5: Solve for x
    x = 30,281,220,225/79,624.13
  6. Step 6: Final answer
    x = 380,302.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.