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Finding the Third Proportional to 162,243 and 242,014.50

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Solution

The third proportional to 162,243 and 242,014.50 is: 361,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,243 : 242,014.50 = 242,014.50 : x
  2. Step 2: Convert to fraction form
    162,243/242,014.50 = 242,014.50/x
  3. Step 3: Cross multiply
    162,243x = 242,014.50 × 242,014.50
  4. Step 4: Simplify right side
    162,243x = 58,571,018,210.25
  5. Step 5: Solve for x
    x = 58,571,018,210.25/162,243
  6. Step 6: Final answer
    x = 361,007.98

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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.