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Finding the Third Proportional to 153,969 and 342,914

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Solution

The third proportional to 153,969 and 342,914 is: 763,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,969 : 342,914 = 342,914 : x
  2. Step 2: Convert to fraction form
    153,969/342,914 = 342,914/x
  3. Step 3: Cross multiply
    153,969x = 342,914 × 342,914
  4. Step 4: Simplify right side
    153,969x = 117,590,011,396
  5. Step 5: Solve for x
    x = 117,590,011,396/153,969
  6. Step 6: Final answer
    x = 763,725.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.