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Finding the Third Proportional to 229,062.75 and 349,516.88

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Solution

The third proportional to 229,062.75 and 349,516.88 is: 533,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,062.75 : 349,516.88 = 349,516.88 : x
  2. Step 2: Convert to fraction form
    229,062.75/349,516.88 = 349,516.88/x
  3. Step 3: Cross multiply
    229,062.75x = 349,516.88 × 349,516.88
  4. Step 4: Simplify right side
    229,062.75x = 122,162,045,909.77
  5. Step 5: Solve for x
    x = 122,162,045,909.77/229,062.75
  6. Step 6: Final answer
    x = 533,312.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.