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Finding the Third Proportional to 232,964 and 508,100

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Solution

The third proportional to 232,964 and 508,100 is: 1,108,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,964 : 508,100 = 508,100 : x
  2. Step 2: Convert to fraction form
    232,964/508,100 = 508,100/x
  3. Step 3: Cross multiply
    232,964x = 508,100 × 508,100
  4. Step 4: Simplify right side
    232,964x = 258,165,610,000
  5. Step 5: Solve for x
    x = 258,165,610,000/232,964
  6. Step 6: Final answer
    x = 1,108,178.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.