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Finding the Third Proportional to 153,308 and 230,154

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Solution

The third proportional to 153,308 and 230,154 is: 345,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,308 : 230,154 = 230,154 : x
  2. Step 2: Convert to fraction form
    153,308/230,154 = 230,154/x
  3. Step 3: Cross multiply
    153,308x = 230,154 × 230,154
  4. Step 4: Simplify right side
    153,308x = 52,970,863,716
  5. Step 5: Solve for x
    x = 52,970,863,716/153,308
  6. Step 6: Final answer
    x = 345,519.24

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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.