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Finding the Third Proportional to 233,176.50 and 502,029

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Solution

The third proportional to 233,176.50 and 502,029 is: 1,080,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,176.50 : 502,029 = 502,029 : x
  2. Step 2: Convert to fraction form
    233,176.50/502,029 = 502,029/x
  3. Step 3: Cross multiply
    233,176.50x = 502,029 × 502,029
  4. Step 4: Simplify right side
    233,176.50x = 252,033,116,841
  5. Step 5: Solve for x
    x = 252,033,116,841/233,176.50
  6. Step 6: Final answer
    x = 1,080,868.43

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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.