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Finding the Third Proportional to 155,760.63 and 233,381.57

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Solution

The third proportional to 155,760.63 and 233,381.57 is: 349,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,760.63 : 233,381.57 = 233,381.57 : x
  2. Step 2: Convert to fraction form
    155,760.63/233,381.57 = 233,381.57/x
  3. Step 3: Cross multiply
    155,760.63x = 233,381.57 × 233,381.57
  4. Step 4: Simplify right side
    155,760.63x = 54,466,955,538.23
  5. Step 5: Solve for x
    x = 54,466,955,538.23/155,760.63
  6. Step 6: Final answer
    x = 349,683.72

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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.