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Finding the Third Proportional to 243,328.25 and 325,486.75

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Solution

The third proportional to 243,328.25 and 325,486.75 is: 435,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,328.25 : 325,486.75 = 325,486.75 : x
  2. Step 2: Convert to fraction form
    243,328.25/325,486.75 = 325,486.75/x
  3. Step 3: Cross multiply
    243,328.25x = 325,486.75 × 325,486.75
  4. Step 4: Simplify right side
    243,328.25x = 105,941,624,425.56
  5. Step 5: Solve for x
    x = 105,941,624,425.56/243,328.25
  6. Step 6: Final answer
    x = 435,385.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.