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Finding the Third Proportional to 219,001.50 and 242,041.50

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Solution

The third proportional to 219,001.50 and 242,041.50 is: 267,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,001.50 : 242,041.50 = 242,041.50 : x
  2. Step 2: Convert to fraction form
    219,001.50/242,041.50 = 242,041.50/x
  3. Step 3: Cross multiply
    219,001.50x = 242,041.50 × 242,041.50
  4. Step 4: Simplify right side
    219,001.50x = 58,584,087,722.25
  5. Step 5: Solve for x
    x = 58,584,087,722.25/219,001.50
  6. Step 6: Final answer
    x = 267,505.42

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.