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Finding the Third Proportional to 233,482.50 and 350,227.13

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Solution

The third proportional to 233,482.50 and 350,227.13 is: 525,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,482.50 : 350,227.13 = 350,227.13 : x
  2. Step 2: Convert to fraction form
    233,482.50/350,227.13 = 350,227.13/x
  3. Step 3: Cross multiply
    233,482.50x = 350,227.13 × 350,227.13
  4. Step 4: Simplify right side
    233,482.50x = 122,659,039,085.77
  5. Step 5: Solve for x
    x = 122,659,039,085.77/233,482.50
  6. Step 6: Final answer
    x = 525,345.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.