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Finding the Third Proportional to 153,929.25 and 230,276.25

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Solution

The third proportional to 153,929.25 and 230,276.25 is: 344,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,929.25 : 230,276.25 = 230,276.25 : x
  2. Step 2: Convert to fraction form
    153,929.25/230,276.25 = 230,276.25/x
  3. Step 3: Cross multiply
    153,929.25x = 230,276.25 × 230,276.25
  4. Step 4: Simplify right side
    153,929.25x = 53,027,151,314.06
  5. Step 5: Solve for x
    x = 53,027,151,314.06/153,929.25
  6. Step 6: Final answer
    x = 344,490.42

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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.