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Finding the Third Proportional to 146,764 and 321,560

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Solution

The third proportional to 146,764 and 321,560 is: 704,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,764 : 321,560 = 321,560 : x
  2. Step 2: Convert to fraction form
    146,764/321,560 = 321,560/x
  3. Step 3: Cross multiply
    146,764x = 321,560 × 321,560
  4. Step 4: Simplify right side
    146,764x = 103,400,833,600
  5. Step 5: Solve for x
    x = 103,400,833,600/146,764
  6. Step 6: Final answer
    x = 704,538.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.