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Finding the Third Proportional to 151,537.92 and 220,643.16

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Solution

The third proportional to 151,537.92 and 220,643.16 is: 321,262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,537.92 : 220,643.16 = 220,643.16 : x
  2. Step 2: Convert to fraction form
    151,537.92/220,643.16 = 220,643.16/x
  3. Step 3: Cross multiply
    151,537.92x = 220,643.16 × 220,643.16
  4. Step 4: Simplify right side
    151,537.92x = 48,683,402,399.96
  5. Step 5: Solve for x
    x = 48,683,402,399.96/151,537.92
  6. Step 6: Final answer
    x = 321,262.18

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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.