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Finding the Third Proportional to 229,062 and 349,515.75

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Solution

The third proportional to 229,062 and 349,515.75 is: 533,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,062 : 349,515.75 = 349,515.75 : x
  2. Step 2: Convert to fraction form
    229,062/349,515.75 = 349,515.75/x
  3. Step 3: Cross multiply
    229,062x = 349,515.75 × 349,515.75
  4. Step 4: Simplify right side
    229,062x = 122,161,259,498.06
  5. Step 5: Solve for x
    x = 122,161,259,498.06/229,062
  6. Step 6: Final answer
    x = 533,310.89

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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.