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Finding the Third Proportional to 148,810.50 and 224,557.50

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Solution

The third proportional to 148,810.50 and 224,557.50 is: 338,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,810.50 : 224,557.50 = 224,557.50 : x
  2. Step 2: Convert to fraction form
    148,810.50/224,557.50 = 224,557.50/x
  3. Step 3: Cross multiply
    148,810.50x = 224,557.50 × 224,557.50
  4. Step 4: Simplify right side
    148,810.50x = 50,426,070,806.25
  5. Step 5: Solve for x
    x = 50,426,070,806.25/148,810.50
  6. Step 6: Final answer
    x = 338,860.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.