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Finding the Third Proportional to 229,661 and 344,719.50

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Solution

The third proportional to 229,661 and 344,719.50 is: 517,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,661 : 344,719.50 = 344,719.50 : x
  2. Step 2: Convert to fraction form
    229,661/344,719.50 = 344,719.50/x
  3. Step 3: Cross multiply
    229,661x = 344,719.50 × 344,719.50
  4. Step 4: Simplify right side
    229,661x = 118,831,533,680.25
  5. Step 5: Solve for x
    x = 118,831,533,680.25/229,661
  6. Step 6: Final answer
    x = 517,421.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.