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Finding the Third Proportional to 229,065 and 349,521

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Solution

The third proportional to 229,065 and 349,521 is: 533,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,065 : 349,521 = 349,521 : x
  2. Step 2: Convert to fraction form
    229,065/349,521 = 349,521/x
  3. Step 3: Cross multiply
    229,065x = 349,521 × 349,521
  4. Step 4: Simplify right side
    229,065x = 122,164,929,441
  5. Step 5: Solve for x
    x = 122,164,929,441/229,065
  6. Step 6: Final answer
    x = 533,319.93

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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.