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Finding the Third Proportional to 153,667.13 and 332,601.19

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Solution

The third proportional to 153,667.13 and 332,601.19 is: 719,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,667.13 : 332,601.19 = 332,601.19 : x
  2. Step 2: Convert to fraction form
    153,667.13/332,601.19 = 332,601.19/x
  3. Step 3: Cross multiply
    153,667.13x = 332,601.19 × 332,601.19
  4. Step 4: Simplify right side
    153,667.13x = 110,623,549,926.41
  5. Step 5: Solve for x
    x = 110,623,549,926.41/153,667.13
  6. Step 6: Final answer
    x = 719,890.80

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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.