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Finding the Third Proportional to 178,435.50 and 242,218.50

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Solution

The third proportional to 178,435.50 and 242,218.50 is: 328,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,435.50 : 242,218.50 = 242,218.50 : x
  2. Step 2: Convert to fraction form
    178,435.50/242,218.50 = 242,218.50/x
  3. Step 3: Cross multiply
    178,435.50x = 242,218.50 × 242,218.50
  4. Step 4: Simplify right side
    178,435.50x = 58,669,801,742.25
  5. Step 5: Solve for x
    x = 58,669,801,742.25/178,435.50
  6. Step 6: Final answer
    x = 328,801.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.