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Finding the Third Proportional to 160,455 and 246,652.50

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Solution

The third proportional to 160,455 and 246,652.50 is: 379,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,455 : 246,652.50 = 246,652.50 : x
  2. Step 2: Convert to fraction form
    160,455/246,652.50 = 246,652.50/x
  3. Step 3: Cross multiply
    160,455x = 246,652.50 × 246,652.50
  4. Step 4: Simplify right side
    160,455x = 60,837,455,756.25
  5. Step 5: Solve for x
    x = 60,837,455,756.25/160,455
  6. Step 6: Final answer
    x = 379,155.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.