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Finding the Third Proportional to 152,929.75 and 230,278.75

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Solution

The third proportional to 152,929.75 and 230,278.75 is: 346,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,929.75 : 230,278.75 = 230,278.75 : x
  2. Step 2: Convert to fraction form
    152,929.75/230,278.75 = 230,278.75/x
  3. Step 3: Cross multiply
    152,929.75x = 230,278.75 × 230,278.75
  4. Step 4: Simplify right side
    152,929.75x = 53,028,302,701.56
  5. Step 5: Solve for x
    x = 53,028,302,701.56/152,929.75
  6. Step 6: Final answer
    x = 346,749.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.