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Finding the Third Proportional to 158,033.53 and 242,324.16

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Solution

The third proportional to 158,033.53 and 242,324.16 is: 371,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,033.53 : 242,324.16 = 242,324.16 : x
  2. Step 2: Convert to fraction form
    158,033.53/242,324.16 = 242,324.16/x
  3. Step 3: Cross multiply
    158,033.53x = 242,324.16 × 242,324.16
  4. Step 4: Simplify right side
    158,033.53x = 58,720,996,702.27
  5. Step 5: Solve for x
    x = 58,720,996,702.27/158,033.53
  6. Step 6: Final answer
    x = 371,573.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.