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Finding the Third Proportional to 229,502 and 349,113

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Solution

The third proportional to 229,502 and 349,113 is: 531,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,502 : 349,113 = 349,113 : x
  2. Step 2: Convert to fraction form
    229,502/349,113 = 349,113/x
  3. Step 3: Cross multiply
    229,502x = 349,113 × 349,113
  4. Step 4: Simplify right side
    229,502x = 121,879,886,769
  5. Step 5: Solve for x
    x = 121,879,886,769/229,502
  6. Step 6: Final answer
    x = 531,062.42

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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.