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Finding the Third Proportional to 107,461.69 and 233,583.75

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Solution

The third proportional to 107,461.69 and 233,583.75 is: 507,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,461.69 : 233,583.75 = 233,583.75 : x
  2. Step 2: Convert to fraction form
    107,461.69/233,583.75 = 233,583.75/x
  3. Step 3: Cross multiply
    107,461.69x = 233,583.75 × 233,583.75
  4. Step 4: Simplify right side
    107,461.69x = 54,561,368,264.06
  5. Step 5: Solve for x
    x = 54,561,368,264.06/107,461.69
  6. Step 6: Final answer
    x = 507,728.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.