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Finding the Third Proportional to 153,084.94 and 324,394.88

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Solution

The third proportional to 153,084.94 and 324,394.88 is: 687,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,084.94 : 324,394.88 = 324,394.88 : x
  2. Step 2: Convert to fraction form
    153,084.94/324,394.88 = 324,394.88/x
  3. Step 3: Cross multiply
    153,084.94x = 324,394.88 × 324,394.88
  4. Step 4: Simplify right side
    153,084.94x = 105,232,034,926.27
  5. Step 5: Solve for x
    x = 105,232,034,926.27/153,084.94
  6. Step 6: Final answer
    x = 687,409.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.