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Finding the Third Proportional to 148,036.50 and 224,823.75

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Solution

The third proportional to 148,036.50 and 224,823.75 is: 341,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,036.50 : 224,823.75 = 224,823.75 : x
  2. Step 2: Convert to fraction form
    148,036.50/224,823.75 = 224,823.75/x
  3. Step 3: Cross multiply
    148,036.50x = 224,823.75 × 224,823.75
  4. Step 4: Simplify right side
    148,036.50x = 50,545,718,564.06
  5. Step 5: Solve for x
    x = 50,545,718,564.06/148,036.50
  6. Step 6: Final answer
    x = 341,440.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.