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Finding the Third Proportional to 229,057.88 and 349,509.94

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Solution

The third proportional to 229,057.88 and 349,509.94 is: 533,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,057.88 : 349,509.94 = 349,509.94 : x
  2. Step 2: Convert to fraction form
    229,057.88/349,509.94 = 349,509.94/x
  3. Step 3: Cross multiply
    229,057.88x = 349,509.94 × 349,509.94
  4. Step 4: Simplify right side
    229,057.88x = 122,157,196,411.25
  5. Step 5: Solve for x
    x = 122,157,196,411.25/229,057.88
  6. Step 6: Final answer
    x = 533,302.76

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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.