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Finding the Third Proportional to 146,448 and 214,488

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Solution

The third proportional to 146,448 and 214,488 is: 314,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,448 : 214,488 = 214,488 : x
  2. Step 2: Convert to fraction form
    146,448/214,488 = 214,488/x
  3. Step 3: Cross multiply
    146,448x = 214,488 × 214,488
  4. Step 4: Simplify right side
    146,448x = 46,005,102,144
  5. Step 5: Solve for x
    x = 46,005,102,144/146,448
  6. Step 6: Final answer
    x = 314,139.50

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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.