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Finding the Third Proportional to 144,466.50 and 224,569.50

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Solution

The third proportional to 144,466.50 and 224,569.50 is: 349,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,466.50 : 224,569.50 = 224,569.50 : x
  2. Step 2: Convert to fraction form
    144,466.50/224,569.50 = 224,569.50/x
  3. Step 3: Cross multiply
    144,466.50x = 224,569.50 × 224,569.50
  4. Step 4: Simplify right side
    144,466.50x = 50,431,460,330.25
  5. Step 5: Solve for x
    x = 50,431,460,330.25/144,466.50
  6. Step 6: Final answer
    x = 349,087.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.