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Finding the Third Proportional to 146,454 and 214,497

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Solution

The third proportional to 146,454 and 214,497 is: 314,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,454 : 214,497 = 214,497 : x
  2. Step 2: Convert to fraction form
    146,454/214,497 = 214,497/x
  3. Step 3: Cross multiply
    146,454x = 214,497 × 214,497
  4. Step 4: Simplify right side
    146,454x = 46,008,963,009
  5. Step 5: Solve for x
    x = 46,008,963,009/146,454
  6. Step 6: Final answer
    x = 314,153.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.