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Finding the Third Proportional to 226,152 and 349,020

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Solution

The third proportional to 226,152 and 349,020 is: 538,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,152 : 349,020 = 349,020 : x
  2. Step 2: Convert to fraction form
    226,152/349,020 = 349,020/x
  3. Step 3: Cross multiply
    226,152x = 349,020 × 349,020
  4. Step 4: Simplify right side
    226,152x = 121,814,960,400
  5. Step 5: Solve for x
    x = 121,814,960,400/226,152
  6. Step 6: Final answer
    x = 538,641.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.