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Finding the Third Proportional to 146,537 and 228,555

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Solution

The third proportional to 146,537 and 228,555 is: 356,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,537 : 228,555 = 228,555 : x
  2. Step 2: Convert to fraction form
    146,537/228,555 = 228,555/x
  3. Step 3: Cross multiply
    146,537x = 228,555 × 228,555
  4. Step 4: Simplify right side
    146,537x = 52,237,388,025
  5. Step 5: Solve for x
    x = 52,237,388,025/146,537
  6. Step 6: Final answer
    x = 356,479.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.