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Finding the Third Proportional to 158,033 and 240,121.50

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Solution

The third proportional to 158,033 and 240,121.50 is: 364,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,033 : 240,121.50 = 240,121.50 : x
  2. Step 2: Convert to fraction form
    158,033/240,121.50 = 240,121.50/x
  3. Step 3: Cross multiply
    158,033x = 240,121.50 × 240,121.50
  4. Step 4: Simplify right side
    158,033x = 57,658,334,762.25
  5. Step 5: Solve for x
    x = 57,658,334,762.25/158,033
  6. Step 6: Final answer
    x = 364,849.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.