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Finding the Third Proportional to 158,394 and 344,673

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Solution

The third proportional to 158,394 and 344,673 is: 750,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,394 : 344,673 = 344,673 : x
  2. Step 2: Convert to fraction form
    158,394/344,673 = 344,673/x
  3. Step 3: Cross multiply
    158,394x = 344,673 × 344,673
  4. Step 4: Simplify right side
    158,394x = 118,799,476,929
  5. Step 5: Solve for x
    x = 118,799,476,929/158,394
  6. Step 6: Final answer
    x = 750,025.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.