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Finding the Third Proportional to 158,819 and 349,124

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Solution

The third proportional to 158,819 and 349,124 is: 767,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,819 : 349,124 = 349,124 : x
  2. Step 2: Convert to fraction form
    158,819/349,124 = 349,124/x
  3. Step 3: Cross multiply
    158,819x = 349,124 × 349,124
  4. Step 4: Simplify right side
    158,819x = 121,887,567,376
  5. Step 5: Solve for x
    x = 121,887,567,376/158,819
  6. Step 6: Final answer
    x = 767,462.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.