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Finding the Third Proportional to 153,024.75 and 331,470

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Solution

The third proportional to 153,024.75 and 331,470 is: 718,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,024.75 : 331,470 = 331,470 : x
  2. Step 2: Convert to fraction form
    153,024.75/331,470 = 331,470/x
  3. Step 3: Cross multiply
    153,024.75x = 331,470 × 331,470
  4. Step 4: Simplify right side
    153,024.75x = 109,872,360,900
  5. Step 5: Solve for x
    x = 109,872,360,900/153,024.75
  6. Step 6: Final answer
    x = 718,003.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.