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Finding the Third Proportional to 153,187.88 and 233,021.81

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Solution

The third proportional to 153,187.88 and 233,021.81 is: 354,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,187.88 : 233,021.81 = 233,021.81 : x
  2. Step 2: Convert to fraction form
    153,187.88/233,021.81 = 233,021.81/x
  3. Step 3: Cross multiply
    153,187.88x = 233,021.81 × 233,021.81
  4. Step 4: Simplify right side
    153,187.88x = 54,299,165,100.79
  5. Step 5: Solve for x
    x = 54,299,165,100.79/153,187.88
  6. Step 6: Final answer
    x = 354,461.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.