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Finding the Third Proportional to 105,328.69 and 230,316.75

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Solution

The third proportional to 105,328.69 and 230,316.75 is: 503,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,328.69 : 230,316.75 = 230,316.75 : x
  2. Step 2: Convert to fraction form
    105,328.69/230,316.75 = 230,316.75/x
  3. Step 3: Cross multiply
    105,328.69x = 230,316.75 × 230,316.75
  4. Step 4: Simplify right side
    105,328.69x = 53,045,805,330.56
  5. Step 5: Solve for x
    x = 53,045,805,330.56/105,328.69
  6. Step 6: Final answer
    x = 503,621.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.