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Finding the Third Proportional to 153,004.57 and 242,218.79

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Solution

The third proportional to 153,004.57 and 242,218.79 is: 383,452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,004.57 : 242,218.79 = 242,218.79 : x
  2. Step 2: Convert to fraction form
    153,004.57/242,218.79 = 242,218.79/x
  3. Step 3: Cross multiply
    153,004.57x = 242,218.79 × 242,218.79
  4. Step 4: Simplify right side
    153,004.57x = 58,669,943,667.24
  5. Step 5: Solve for x
    x = 58,669,943,667.24/153,004.57
  6. Step 6: Final answer
    x = 383,452.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.