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Finding the Third Proportional to 243,330 and 325,489

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Solution

The third proportional to 243,330 and 325,489 is: 435,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,330 : 325,489 = 325,489 : x
  2. Step 2: Convert to fraction form
    243,330/325,489 = 325,489/x
  3. Step 3: Cross multiply
    243,330x = 325,489 × 325,489
  4. Step 4: Simplify right side
    243,330x = 105,943,089,121
  5. Step 5: Solve for x
    x = 105,943,089,121/243,330
  6. Step 6: Final answer
    x = 435,388.52

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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.