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Finding the Third Proportional to 229,548 and 349,401.75

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Solution

The third proportional to 229,548 and 349,401.75 is: 531,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,548 : 349,401.75 = 349,401.75 : x
  2. Step 2: Convert to fraction form
    229,548/349,401.75 = 349,401.75/x
  3. Step 3: Cross multiply
    229,548x = 349,401.75 × 349,401.75
  4. Step 4: Simplify right side
    229,548x = 122,081,582,903.06
  5. Step 5: Solve for x
    x = 122,081,582,903.06/229,548
  6. Step 6: Final answer
    x = 531,834.66

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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.