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Finding the Third Proportional to 158,598 and 343,326

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Solution

The third proportional to 158,598 and 343,326 is: 743,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,598 : 343,326 = 343,326 : x
  2. Step 2: Convert to fraction form
    158,598/343,326 = 343,326/x
  3. Step 3: Cross multiply
    158,598x = 343,326 × 343,326
  4. Step 4: Simplify right side
    158,598x = 117,872,742,276
  5. Step 5: Solve for x
    x = 117,872,742,276/158,598
  6. Step 6: Final answer
    x = 743,217.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.