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Finding the Third Proportional to 233,615.81 and 365,985.84

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Solution

The third proportional to 233,615.81 and 365,985.84 is: 573,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,615.81 : 365,985.84 = 365,985.84 : x
  2. Step 2: Convert to fraction form
    233,615.81/365,985.84 = 365,985.84/x
  3. Step 3: Cross multiply
    233,615.81x = 365,985.84 × 365,985.84
  4. Step 4: Simplify right side
    233,615.81x = 133,945,637,825.40
  5. Step 5: Solve for x
    x = 133,945,637,825.40/233,615.81
  6. Step 6: Final answer
    x = 573,358.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.