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Finding the Third Proportional to 154,752 and 231,552

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Solution

The third proportional to 154,752 and 231,552 is: 346,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,752 : 231,552 = 231,552 : x
  2. Step 2: Convert to fraction form
    154,752/231,552 = 231,552/x
  3. Step 3: Cross multiply
    154,752x = 231,552 × 231,552
  4. Step 4: Simplify right side
    154,752x = 53,616,328,704
  5. Step 5: Solve for x
    x = 53,616,328,704/154,752
  6. Step 6: Final answer
    x = 346,466.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.