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Finding the Third Proportional to 148,300.50 and 349,747.50

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Solution

The third proportional to 148,300.50 and 349,747.50 is: 824,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,300.50 : 349,747.50 = 349,747.50 : x
  2. Step 2: Convert to fraction form
    148,300.50/349,747.50 = 349,747.50/x
  3. Step 3: Cross multiply
    148,300.50x = 349,747.50 × 349,747.50
  4. Step 4: Simplify right side
    148,300.50x = 122,323,313,756.25
  5. Step 5: Solve for x
    x = 122,323,313,756.25/148,300.50
  6. Step 6: Final answer
    x = 824,834.13

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.