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Finding the Third Proportional to 161,519.06 and 237,614.13

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Solution

The third proportional to 161,519.06 and 237,614.13 is: 349,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,519.06 : 237,614.13 = 237,614.13 : x
  2. Step 2: Convert to fraction form
    161,519.06/237,614.13 = 237,614.13/x
  3. Step 3: Cross multiply
    161,519.06x = 237,614.13 × 237,614.13
  4. Step 4: Simplify right side
    161,519.06x = 56,460,476,112.24
  5. Step 5: Solve for x
    x = 56,460,476,112.24/161,519.06
  6. Step 6: Final answer
    x = 349,559.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.