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Finding the Third Proportional to 158,077.50 and 237,121.50

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Solution

The third proportional to 158,077.50 and 237,121.50 is: 355,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,077.50 : 237,121.50 = 237,121.50 : x
  2. Step 2: Convert to fraction form
    158,077.50/237,121.50 = 237,121.50/x
  3. Step 3: Cross multiply
    158,077.50x = 237,121.50 × 237,121.50
  4. Step 4: Simplify right side
    158,077.50x = 56,226,605,762.25
  5. Step 5: Solve for x
    x = 56,226,605,762.25/158,077.50
  6. Step 6: Final answer
    x = 355,690.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.