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Finding the Third Proportional to 148,532 and 320,739

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Solution

The third proportional to 148,532 and 320,739 is: 692,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,532 : 320,739 = 320,739 : x
  2. Step 2: Convert to fraction form
    148,532/320,739 = 320,739/x
  3. Step 3: Cross multiply
    148,532x = 320,739 × 320,739
  4. Step 4: Simplify right side
    148,532x = 102,873,506,121
  5. Step 5: Solve for x
    x = 102,873,506,121/148,532
  6. Step 6: Final answer
    x = 692,601.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.