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Finding the Third Proportional to 153,168 and 229,914

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Solution

The third proportional to 153,168 and 229,914 is: 345,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,168 : 229,914 = 229,914 : x
  2. Step 2: Convert to fraction form
    153,168/229,914 = 229,914/x
  3. Step 3: Cross multiply
    153,168x = 229,914 × 229,914
  4. Step 4: Simplify right side
    153,168x = 52,860,447,396
  5. Step 5: Solve for x
    x = 52,860,447,396/153,168
  6. Step 6: Final answer
    x = 345,114.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.