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Finding the Third Proportional to 162,463.50 and 242,343

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Solution

The third proportional to 162,463.50 and 242,343 is: 361,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,463.50 : 242,343 = 242,343 : x
  2. Step 2: Convert to fraction form
    162,463.50/242,343 = 242,343/x
  3. Step 3: Cross multiply
    162,463.50x = 242,343 × 242,343
  4. Step 4: Simplify right side
    162,463.50x = 58,730,129,649
  5. Step 5: Solve for x
    x = 58,730,129,649/162,463.50
  6. Step 6: Final answer
    x = 361,497.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.