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Finding the Third Proportional to 148,281.75 and 349,615.13

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Solution

The third proportional to 148,281.75 and 349,615.13 is: 824,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,281.75 : 349,615.13 = 349,615.13 : x
  2. Step 2: Convert to fraction form
    148,281.75/349,615.13 = 349,615.13/x
  3. Step 3: Cross multiply
    148,281.75x = 349,615.13 × 349,615.13
  4. Step 4: Simplify right side
    148,281.75x = 122,230,735,628.77
  5. Step 5: Solve for x
    x = 122,230,735,628.77/148,281.75
  6. Step 6: Final answer
    x = 824,314.09

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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.