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Finding the Third Proportional to 146,531 and 228,545

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Solution

The third proportional to 146,531 and 228,545 is: 356,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,531 : 228,545 = 228,545 : x
  2. Step 2: Convert to fraction form
    146,531/228,545 = 228,545/x
  3. Step 3: Cross multiply
    146,531x = 228,545 × 228,545
  4. Step 4: Simplify right side
    146,531x = 52,232,817,025
  5. Step 5: Solve for x
    x = 52,232,817,025/146,531
  6. Step 6: Final answer
    x = 356,462.57

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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.