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Finding the Third Proportional to 148,307.63 and 349,764.75

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Solution

The third proportional to 148,307.63 and 349,764.75 is: 824,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,307.63 : 349,764.75 = 349,764.75 : x
  2. Step 2: Convert to fraction form
    148,307.63/349,764.75 = 349,764.75/x
  3. Step 3: Cross multiply
    148,307.63x = 349,764.75 × 349,764.75
  4. Step 4: Simplify right side
    148,307.63x = 122,335,380,342.56
  5. Step 5: Solve for x
    x = 122,335,380,342.56/148,307.63
  6. Step 6: Final answer
    x = 824,875.86

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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.