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Finding the Third Proportional to 234,080 and 508,015

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Solution

The third proportional to 234,080 and 508,015 is: 1,102,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,080 : 508,015 = 508,015 : x
  2. Step 2: Convert to fraction form
    234,080/508,015 = 508,015/x
  3. Step 3: Cross multiply
    234,080x = 508,015 × 508,015
  4. Step 4: Simplify right side
    234,080x = 258,079,240,225
  5. Step 5: Solve for x
    x = 258,079,240,225/234,080
  6. Step 6: Final answer
    x = 1,102,525.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.