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Finding the Third Proportional to 158,128.50 and 247,561.50

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Solution

The third proportional to 158,128.50 and 247,561.50 is: 387,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,128.50 : 247,561.50 = 247,561.50 : x
  2. Step 2: Convert to fraction form
    158,128.50/247,561.50 = 247,561.50/x
  3. Step 3: Cross multiply
    158,128.50x = 247,561.50 × 247,561.50
  4. Step 4: Simplify right side
    158,128.50x = 61,286,696,282.25
  5. Step 5: Solve for x
    x = 61,286,696,282.25/158,128.50
  6. Step 6: Final answer
    x = 387,575.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.