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Finding the Third Proportional to 162,416 and 349,024

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Solution

The third proportional to 162,416 and 349,024 is: 750,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,416 : 349,024 = 349,024 : x
  2. Step 2: Convert to fraction form
    162,416/349,024 = 349,024/x
  3. Step 3: Cross multiply
    162,416x = 349,024 × 349,024
  4. Step 4: Simplify right side
    162,416x = 121,817,752,576
  5. Step 5: Solve for x
    x = 121,817,752,576/162,416
  6. Step 6: Final answer
    x = 750,035.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.