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Finding the Third Proportional to 146,724 and 312,826

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Solution

The third proportional to 146,724 and 312,826 is: 666,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,724 : 312,826 = 312,826 : x
  2. Step 2: Convert to fraction form
    146,724/312,826 = 312,826/x
  3. Step 3: Cross multiply
    146,724x = 312,826 × 312,826
  4. Step 4: Simplify right side
    146,724x = 97,860,106,276
  5. Step 5: Solve for x
    x = 97,860,106,276/146,724
  6. Step 6: Final answer
    x = 666,967.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.