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Finding the Third Proportional to 162,713 and 246,365

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Solution

The third proportional to 162,713 and 246,365 is: 373,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,713 : 246,365 = 246,365 : x
  2. Step 2: Convert to fraction form
    162,713/246,365 = 246,365/x
  3. Step 3: Cross multiply
    162,713x = 246,365 × 246,365
  4. Step 4: Simplify right side
    162,713x = 60,695,713,225
  5. Step 5: Solve for x
    x = 60,695,713,225/162,713
  6. Step 6: Final answer
    x = 373,023.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.