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Finding the Third Proportional to 155,655.75 and 233,484.38

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Solution

The third proportional to 155,655.75 and 233,484.38 is: 350,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,655.75 : 233,484.38 = 233,484.38 : x
  2. Step 2: Convert to fraction form
    155,655.75/233,484.38 = 233,484.38/x
  3. Step 3: Cross multiply
    155,655.75x = 233,484.38 × 233,484.38
  4. Step 4: Simplify right side
    155,655.75x = 54,514,953,369.14
  5. Step 5: Solve for x
    x = 54,514,953,369.14/155,655.75
  6. Step 6: Final answer
    x = 350,227.69

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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.