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Finding the Third Proportional to 158,033.53 and 341,316.28

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Solution

The third proportional to 158,033.53 and 341,316.28 is: 737,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,033.53 : 341,316.28 = 341,316.28 : x
  2. Step 2: Convert to fraction form
    158,033.53/341,316.28 = 341,316.28/x
  3. Step 3: Cross multiply
    158,033.53x = 341,316.28 × 341,316.28
  4. Step 4: Simplify right side
    158,033.53x = 116,496,803,846.33
  5. Step 5: Solve for x
    x = 116,496,803,846.33/158,033.53
  6. Step 6: Final answer
    x = 737,165.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.