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Finding the Third Proportional to 178,785 and 372,271.50

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Solution

The third proportional to 178,785 and 372,271.50 is: 775,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,785 : 372,271.50 = 372,271.50 : x
  2. Step 2: Convert to fraction form
    178,785/372,271.50 = 372,271.50/x
  3. Step 3: Cross multiply
    178,785x = 372,271.50 × 372,271.50
  4. Step 4: Simplify right side
    178,785x = 138,586,069,712.25
  5. Step 5: Solve for x
    x = 138,586,069,712.25/178,785
  6. Step 6: Final answer
    x = 775,154.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.