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Finding the Third Proportional to 229,311 and 347,434.50

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Solution

The third proportional to 229,311 and 347,434.50 is: 526,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,311 : 347,434.50 = 347,434.50 : x
  2. Step 2: Convert to fraction form
    229,311/347,434.50 = 347,434.50/x
  3. Step 3: Cross multiply
    229,311x = 347,434.50 × 347,434.50
  4. Step 4: Simplify right side
    229,311x = 120,710,731,790.25
  5. Step 5: Solve for x
    x = 120,710,731,790.25/229,311
  6. Step 6: Final answer
    x = 526,406.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.