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Finding the Third Proportional to 158,394 and 346,308

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Solution

The third proportional to 158,394 and 346,308 is: 757,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,394 : 346,308 = 346,308 : x
  2. Step 2: Convert to fraction form
    158,394/346,308 = 346,308/x
  3. Step 3: Cross multiply
    158,394x = 346,308 × 346,308
  4. Step 4: Simplify right side
    158,394x = 119,929,230,864
  5. Step 5: Solve for x
    x = 119,929,230,864/158,394
  6. Step 6: Final answer
    x = 757,157.66

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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.