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Finding the Third Proportional to 233,173.50 and 502,022

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Solution

The third proportional to 233,173.50 and 502,022 is: 1,080,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,173.50 : 502,022 = 502,022 : x
  2. Step 2: Convert to fraction form
    233,173.50/502,022 = 502,022/x
  3. Step 3: Cross multiply
    233,173.50x = 502,022 × 502,022
  4. Step 4: Simplify right side
    233,173.50x = 252,026,088,484
  5. Step 5: Solve for x
    x = 252,026,088,484/233,173.50
  6. Step 6: Final answer
    x = 1,080,852.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.