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Finding the Third Proportional to 155,527.88 and 327,655.13

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Solution

The third proportional to 155,527.88 and 327,655.13 is: 690,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,527.88 : 327,655.13 = 327,655.13 : x
  2. Step 2: Convert to fraction form
    155,527.88/327,655.13 = 327,655.13/x
  3. Step 3: Cross multiply
    155,527.88x = 327,655.13 × 327,655.13
  4. Step 4: Simplify right side
    155,527.88x = 107,357,880,938.77
  5. Step 5: Solve for x
    x = 107,357,880,938.77/155,527.88
  6. Step 6: Final answer
    x = 690,280.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.