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Finding the Third Proportional to 148,314.48 and 229,583.74

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Solution

The third proportional to 148,314.48 and 229,583.74 is: 355,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,314.48 : 229,583.74 = 229,583.74 : x
  2. Step 2: Convert to fraction form
    148,314.48/229,583.74 = 229,583.74/x
  3. Step 3: Cross multiply
    148,314.48x = 229,583.74 × 229,583.74
  4. Step 4: Simplify right side
    148,314.48x = 52,708,694,676.82
  5. Step 5: Solve for x
    x = 52,708,694,676.82/148,314.48
  6. Step 6: Final answer
    x = 355,384.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.