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Finding the Third Proportional to 148,984 and 325,822

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Solution

The third proportional to 148,984 and 325,822 is: 712,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,984 : 325,822 = 325,822 : x
  2. Step 2: Convert to fraction form
    148,984/325,822 = 325,822/x
  3. Step 3: Cross multiply
    148,984x = 325,822 × 325,822
  4. Step 4: Simplify right side
    148,984x = 106,159,975,684
  5. Step 5: Solve for x
    x = 106,159,975,684/148,984
  6. Step 6: Final answer
    x = 712,559.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.