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Finding the Third Proportional to 158,074.88 and 237,117.38

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Solution

The third proportional to 158,074.88 and 237,117.38 is: 355,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,074.88 : 237,117.38 = 237,117.38 : x
  2. Step 2: Convert to fraction form
    158,074.88/237,117.38 = 237,117.38/x
  3. Step 3: Cross multiply
    158,074.88x = 237,117.38 × 237,117.38
  4. Step 4: Simplify right side
    158,074.88x = 56,224,649,526.89
  5. Step 5: Solve for x
    x = 56,224,649,526.89/158,074.88
  6. Step 6: Final answer
    x = 355,683.66

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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.