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Finding the Third Proportional to 155,527.50 and 233,886

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Solution

The third proportional to 155,527.50 and 233,886 is: 351,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,527.50 : 233,886 = 233,886 : x
  2. Step 2: Convert to fraction form
    155,527.50/233,886 = 233,886/x
  3. Step 3: Cross multiply
    155,527.50x = 233,886 × 233,886
  4. Step 4: Simplify right side
    155,527.50x = 54,702,660,996
  5. Step 5: Solve for x
    x = 54,702,660,996/155,527.50
  6. Step 6: Final answer
    x = 351,723.40

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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.